Ordering fractions from least to greatest worksheet pdf - With the daily practice and learning through these ordering decimal worksheets, students will also progressively improve their math proficiency for subsequent grades. Download Ordering Decimals From Least to Greatest Worksheet PDFs. These math worksheets should be practiced regularly and are free to download in PDF formats.

 
Worksheets: Ordering fractions & mixed numbers Below are six versions of our grade 4 fractions worksheet on ordering 3 fractions (proper and improper) and mixed numbers. Students must compare the 3 numbers and write then in order using the "greater than" and "less than" symbols. Fractions will typically have unlike denominators. . Goodwill outlet center and donation center

Step 3: Order the fractions. Solution: Because 6 8 3 4 5 and 1 2 4 5 , from greatest to least the order is 3 4, 5 8, and 1 2. Because 8 is a multiple of 2 and 4, the LCD is 8. 1 2 4 4 4 8; 3 4 2 2 6 8 35 35 6 8 5 8 4 8.. EXAMPLE A To order decimals align the decimal points. Then compare the digits from left to right, just like you would compare ...Ordering Mixed Numbers Worksheets. Scrounge around our printable ordering mixed numbers worksheets for profuse practice on arranging mixed numbers in order from least to greatest and the other way around! Our pdf worksheets offer spot-on exercises on arranging mixed numbers with same denominators in ascending order and descending order as well ...Displaying all worksheets related to - Least To Greatest Fractions. Worksheets are Comparing and ordering fractions decimals and percents, Order the unlike fractions from least to greatest 1, Order the like fractions from least to greatest 1, Math 67 notes unit 2 preview name comparing ordering, Ordering fractions decimals and percents, Order ...For some students ordering fractions and decimals is a bit difficult because of the way number are written or presented to them. Let's try to understand how to order decimals first with the help of a few examples. Assume we have numbers: 1.001, 0.113, and 1.101 Now, what we want you to do is order these numbers from least to greatest. Explore our free printable ordering numbers worksheets for well-organized exercises in listing numbers in order from greatest to least and vice versa. Shuffle the whole numbers involving 2 to 8 digits; sort the integers, fractions, and decimals in the appropriate way; and set each set of numbers in the increasing and decreasing order.Ordering Decimals. Boast the brightness and smarts to order decimals with our free, printable ordering decimals worksheets! Encompassing models, separate exercises in arranging decimals in the increasing and decreasing order, and a combined review on ordering decimals with up to 4 decimal places, this compilation provides a soup-to-nut practice ... Ordering Decimals. Boast the brightness and smarts to order decimals with our free, printable ordering decimals worksheets! Encompassing models, separate exercises in arranging decimals in the increasing and decreasing order, and a combined review on ordering decimals with up to 4 decimal places, this compilation provides a soup-to-nut practice ...In these math worksheets students select the greatest and least numbers from sets. No pictorial representations are used. Each worksheet has either 3 or 4 numbers per set. Numbers up to 10: Worksheet #1 Worksheet #2. Numbers up to 20: Worksheet #3 Worksheet #4. Numbers up to 100: This resource includes 276 cards (138 black and white and 138 color) for comparing and ordering fractions, a Google™ slides presentation with 12 slides and moveable manipulatives, 10 worksheets, AND answer keys for the worksheets and Google™ slides. The cards, slides, and worksheets can be used together or separately.Ordering fractions Grade 4 Fractions Worksheet Write the fractions in order using the "greater than" and "less than" symbols as shown. Online reading & math for K-5 www.k5learning.com Answers Online reading & math for K-5 www.k5learning.com Order. Our free printable ordering fractions worksheets might be the sanctuary learners are seeking to let their ordering skills flourish. These resources feature visual models, number lines, fractions, and mixed numbers with like and unlike denominators, and more. Our ordering fraction pdfs include answer key to facilitate instant verification ... With the daily practice and learning through these ordering decimal worksheets, students will also progressively improve their math proficiency for subsequent grades. Download Ordering Decimals From Least to Greatest Worksheet PDFs. These math worksheets should be practiced regularly and are free to download in PDF formats. Comparing and Ordering Rational NumbersName. ... in order from least to greatest. 7. 3 1 7 8.0.44, 3/8, 0.5, 2/59. 0.2, 4/15, 0.21, 1/4 ... Worksheet 2.4 Comparing ... Step 3: Order the fractions. Solution: Because 6 8 3 4 5 and 1 2 4 5 , from greatest to least the order is 3 4, 5 8, and 1 2. Because 8 is a multiple of 2 and 4, the LCD is 8. 1 2 4 4 4 8; 3 4 2 2 6 8 35 35 6 8 5 8 4 8.. EXAMPLE A To order decimals align the decimal points. Then compare the digits from left to right, just like you would compare ...Explore our free printable ordering numbers worksheets for well-organized exercises in listing numbers in order from greatest to least and vice versa. Shuffle the whole numbers involving 2 to 8 digits; sort the integers, fractions, and decimals in the appropriate way; and set each set of numbers in the increasing and decreasing order.18 ÷ 3 = 6, so 1/3 = (1x6)/ (3x6)=6/18. 3. Use the top number to order the fractions. Now that they all have the same denominator, the fractions are easy to compare. Use their top number, or numerator, to rank them from least to greatest. Ranking the fractions we found above, we get: 6/18, 12/18, 15/18. 4.4.2: Ordering Rational Number Cards Your teacher will give you a set of number cards. Order them from least to greatest. Your teacher will give you a second set of number cards. Add these to the correct places in the ordered set. 4.3: Comparing Points on A Line 1. Use each of the following terms at least once to describe or compare the values of Ordering Fractions From Least to Greatest Worksheets | Worksheet 1 Author: cuemath Subject: Math Worksheets Keywords: Printable PDFs for Ordering Fractions From Least to Greatest Worksheets,Download PDFs for Ordering Fractions From Least to Greatest Worksheets Created Date: 4/1/2021 12:54:25 PMGrade 1 comparing numbers worksheets. Order 3 numbers least to greatest (0-30) Order 5 numbers least to greatest (0-100) Compare numbers as less than, greater than or equal to (<, >, =) 0-30; Compare numbers as less than, greater than or equal to (<, >, =) 0-100; Grade 2 comparing and ordering numbers worksheets. compare numbers up to 100 or 1,000Changing Fractions to Decimals and then Ordering. Conversion of fractions to decimals is another method of ordering fractions. Example 1. Arrange the following fractions in ascending order. 3/4, 1/2, 4/5, 3/8. Solution. First convert all the fraction to decimals as shown below: 3/4 = 0.75. 1/2 = 0.5. 4/5 = 0.8. 3/8 = 0.375 The Comparing & Ordering Fraction, Decimal, & Percent Pixel Mystery activity is a completely digital activity. In this self checking activity students will compare and order fractions, decimals, and percents in Google Sheets. Students can work independently or in small groups while working on this Google activity. We start out the early lesson and guided practice worksheet by doing a simple two-fraction comparison. This reminds students of the fundamental process. From there we go on to compare three fractions and order them from least to greatest. It helps if you get everything in the same denominator and make your comparison from there.Shape Math: Adding Integers. At the top of this worksheet, there are many shapes with positive and negative numbers in them. Students find pairs of congruent shapes, and add the numbers inside of them. For example: Find the sum of the numbers in the trapezoids. 5th through 7th Grades.Sep 9, 2021 · Hence, if the set of fractions are arranged from greatest to least, we have: Examples of how to order fractions. Q1) Arrange the set of fractions from greatest to least. 41/96, 17/48, 11/36, 17/24. The denominators of the fractions are not the same so we first need to determine the LCD shared by the fractions. 24=12×2. 36=12×3. 48=12×4. 96 ... What is an “Ordering fractions from least to greatest worksheet”? Ordering fractions from least to greatest worksheet is a math practice sheet that incorporates application, reflection, and problem-solving with a challenge to aid students in creating and resolving their word problems. This activity will assist students in understanding the ...Now that the fractions are simplified, we can start the steps for ordering the simplified fractions 2/3, 1/2, and 3/4. Let's write some equivalent fractions for 2/3, 1/2, and 3/4. Pick three equivalent fractions that have the same denominators. Now, we order the equivalent fractions 8/12, 6/12, and 9/12 from least to greatest. This resource includes 276 cards (138 black and white and 138 color) for comparing and ordering fractions, a Google™ slides presentation with 12 slides and moveable manipulatives, 10 worksheets, AND answer keys for the worksheets and Google™ slides. The cards, slides, and worksheets can be used together or separately. These math worksheets should be practiced regularly and are free to download in PDF formats. Ordering Fractions Worksheet - 1. Download PDF. Ordering Fractions Worksheet - 2. Download PDF. Ordering Fractions Worksheet - 3. Download PDF. Ordering Fractions Worksheet - 4. Download PDF.Sep 25, 2019 · Ordering Fractions Textbook Exercise – Corbettmaths. September 25, 2019 corbettmaths. Order the time spent to complete Jack's homework by subject from least to greatest. Analysis: These fractions have unlike denominators. We will use the least common denominator (LCD) to write these fractions as equivalents fractions with like denominators, and then compare them two at a time. Placing 1-digit decimals in order. Students re-order 0 or 1-digit decimal numbers from smallest to largest. All numbers between 0 and 1,000. Worksheet #1 Worksheet #2 Worksheet #3. 5 More.Now that the fractions are simplified, we can start the steps for ordering the simplified fractions 2/3, 1/2, and 3/4. Let's write some equivalent fractions for 2/3, 1/2, and 3/4. Pick three equivalent fractions that have the same denominators. Now, we order the equivalent fractions 8/12, 6/12, and 9/12 from least to greatest. Input: 2, 3/4, 9/12, 3 5/8, -12/16 and order from least to greatest. Convert integers and mixed numbers to improper fractions. • 3/4, 9/12 and -12/16 are proper fractions so we can use those as they are written. • 2 in fraction form is 2/1. • Convert 3 5/8 to an improper fraction. Multiply the whole number 3 by the denominator 8 to get 24.Our fraction worksheets cover a range of skills, from simplifying fractions to adding and subtracting fractions with different denominators. Each worksheet includes clear instructions and plenty of space for students to show their work. With our fraction worksheets, you'll find everything you need to help your students master this important ...Compare and Order the Integers Worksheets. Comparing and ordering integers' worksheets have a variety of activities to compare the integers. Real-life word problems are included. Ample exercises to order integers in the increasing and decreasing order are also here for practice. These printable worksheets are ideal for 5th grade, 6th grade, and ... Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance Exercise 36.4. 2: Ordering Rational Number Cards. Your teacher will give you a set of number cards. Order them from least to greatest. Your teacher will give you a second set of number cards. Add these to the correct places in the ordered set. Exercise 36.4. 3: Comparing Points on A Line. Figure 36.4. 1. Use each of the following terms at least ...Ordering Fractions Use your fraction strips to compare the following fractions. Line up each fraction strip to see which fraction has the greatest length. Use >, <, or = to compare each pair of fractions. For example, when comparing 1/2 and 2/4, the fractions should be modeled and lined up as follows: 1. 4 3 3 2 2. 8 6 6 5 3. 3 2 6 3 4. 8 4 2 1 ...Comparing Fractions and Decimals. This Fractions Worksheet is great for testing children for comparing Fractions and Decimals to see if they are greater than, less than or equal. You may select different denominators and have the problems be positive, negative or mixed.Download these activities if you're teaching your class about ordering and comparing fractions and mixed numbers. On these printables, pupils will use the symbols <, >, and = to compare decimal values. Compare pairs of money amounts. (example: $1.56 < $1.46) Includes worksheets and a math card game learning center.Order the time spent to complete Jack's homework by subject from least to greatest. Analysis: These fractions have unlike denominators. We will use the least common denominator (LCD) to write these fractions as equivalents fractions with like denominators, and then compare them two at a time.Ordering fractions Grade 4 Fractions Worksheet Write the fractions in order using the "greater than" and "less than" symbols as shown. Online reading & math for K-5 www.k5learning.com Answers Online reading & math for K-5 www.k5learning.com Enjoy this FREE hands-on activity with your students! Cut a horizontal strip for each student (or for each pair) and have the students order the numbers from least to greatest. The students need to be able to convert from fractions to decimals or from decimals to fractions to be successful with this activity. You can also use this activity as a ... Ordering Decimals. Boast the brightness and smarts to order decimals with our free, printable ordering decimals worksheets! Encompassing models, separate exercises in arranging decimals in the increasing and decreasing order, and a combined review on ordering decimals with up to 4 decimal places, this compilation provides a soup-to-nut practice ...The number line models offer a clear picture of the placement of fractions so identifying fractions on number lines and comparing, ordering, or performing basic arithmetic operations on fractions become an exciting activity. Our pdf worksheets are most recommended for students in grade 3, grade 4, and grade 5. CCSS: 3.NF, 4.NF, 5.NF Comparing Fractions and Decimals. This Fractions Worksheet is great for testing children for comparing Fractions and Decimals to see if they are greater than, less than or equal. You may select different denominators and have the problems be positive, negative or mixed. Order the following fractions from the least to greatest $\frac{3}{11}$, $\frac{3}{6}$, $\frac{3}{8}$ Solution. Step 1: The numerator of each fraction is the same 3. So we look at the denominators. Here is the order of the denominators from least to the greatest. 6 < 8 < 11. Step 2: The order of the fractions from least to greatest is the reverseOrdering Decimals. Boast the brightness and smarts to order decimals with our free, printable ordering decimals worksheets! Encompassing models, separate exercises in arranging decimals in the increasing and decreasing order, and a combined review on ordering decimals with up to 4 decimal places, this compilation provides a soup-to-nut practice ... Compare and Order the Integers Worksheets. Comparing and ordering integers' worksheets have a variety of activities to compare the integers. Real-life word problems are included. Ample exercises to order integers in the increasing and decreasing order are also here for practice. These printable worksheets are ideal for 5th grade, 6th grade, and ... Sep 9, 2021 · Hence, if the set of fractions are arranged from greatest to least, we have: Examples of how to order fractions. Q1) Arrange the set of fractions from greatest to least. 41/96, 17/48, 11/36, 17/24. The denominators of the fractions are not the same so we first need to determine the LCD shared by the fractions. 24=12×2. 36=12×3. 48=12×4. 96 ... Ordering Fractions Using Number Lines Sheet 1 Plot the fractions on the number line, and write them in increasing order. 6 9 , 1 9 , 5 9 , 3 9 0 9 9 3 2) 2 6 , 3 6 5 2 , 2 , 2 6 6 6 2 2 6 3 2 6 3 9 4 9 4 2 6 5 9 Ordering. Order 3 numbers. Order 7 numbers. Order 7 numbers (includes negatives) Repeating Decimals Mixed Review. Fractions. Fraction Worksheets and Printables. 2nd Grade Fractions. 3rd Grade Fractions. Author: Henrico County Created Date: 05/06/2017 15:57:00 Title: Worksheet 2.4 Comparing and Ordering Rational Numbers Last modified by: Microsoft Office UserVideo transcript. - [Voiceover] Order the fractions from least to greatest. So we have three fractions, and we wanna decide which one is the smallest, which one's in the middle, and which is the greatest. So one thing we could do is look at the fractions, think about what they mean, and then estimate. 7/10, let's say maybe that could represent ...The number line models offer a clear picture of the placement of fractions so identifying fractions on number lines and comparing, ordering, or performing basic arithmetic operations on fractions become an exciting activity. Our pdf worksheets are most recommended for students in grade 3, grade 4, and grade 5. CCSS: 3.NF, 4.NF, 5.NF Learners can download this math worksheet and write their responses in the space provided. Print or download free pdf printable worksheet and teach students about Ordering Fractions - Smallest to Greatest. PDF printable worksheet for classroom and homework to practice math topic - Ordering Fractions - Smallest to Greatest. For some students ordering fractions and decimals is a bit difficult because of the way number are written or presented to them. Let's try to understand how to order decimals first with the help of a few examples. Assume we have numbers: 1.001, 0.113, and 1.101 Now, what we want you to do is order these numbers from least to greatest.Example 1: ordering proper fractions. Write the following fractions in order of size: Write all the fractions so that they have a common denominator. The fractions have different denominators. The denominators of the fractions are 2, 4, 6 and 12. 2, 4 and 6 go into 12. The lowest common multiple is 12, so we can convert the fractions so they ...Printable Worksheets @ www.mathworksheets4kids.com Name : Answer Key Ordering Fractions Sheet 1 1), 7 4, 15 11 9 8, 12 5 Increasing order: 3) Increasing order: 4 ...Feb 14, 2013 · Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Ordering Fractions on a Number Line -- Easy Denominators to 10 (A) math worksheet. The size of the PDF file is 22185 bytes. Worksheets: Ordering fractions & mixed numbers Below are six versions of our grade 4 fractions worksheet on ordering 3 fractions (proper and improper) and mixed numbers. Students must compare the 3 numbers and write then in order using the "greater than" and "less than" symbols. Fractions will typically have unlike denominators. Ordering Decimals Game: Click the decimals in the order from least to greatest. Math. Decimals. Ordering Numbers Worksheets. To link to Ordering Decimals game page, copy the following code to your site:Big Ideas Learning Below are six versions of our grade 4 fractions worksheet on ordering 3 fractions (proper and improper) and mixed numbers. Students must compare the 3 numbers and write then in order using the "greater than" and "less than" symbols. Fractions will typically have unlike denominators. These math worksheets are pdf files.Enjoy this FREE hands-on activity with your students! Cut a horizontal strip for each student (or for each pair) and have the students order the numbers from least to greatest. The students need to be able to convert from fractions to decimals or from decimals to fractions to be successful with this activity. You can also use this activity as a ...Ordering Fractions Video 144 on www.corbettmaths.com Question 1: Arrange the following sets of fractions in order, from smallest to largest (a) (b) (c) Question 2: Arrange the following sets of fractions in order, from smallest to largest (a) (b) (c) (d) (e) (f) Ordering Fractions Use your fraction strips to compare the following fractions. Line up each fraction strip to see which fraction has the greatest length. Use >, <, or = to compare each pair of fractions. For example, when comparing 1/2 and 2/4, the fractions should be modeled and lined up as follows: 1. 4 3 3 2 2. 8 6 6 5 3. 3 2 6 3 4. 8 4 2 1 ...Ordering Fractions Textbook Exercise – Corbettmaths. September 25, 2019 corbettmaths.Order the numbers from least to greatest. Put the lowest number on the left. \dfrac {61} {100} 10061. \dfrac1 {10} 101. \dfrac25 52. Stuck? Review related articles/videos or use a hint. Report a problem. Mar 27, 2022 · Exercise 36.4. 2: Ordering Rational Number Cards. Your teacher will give you a set of number cards. Order them from least to greatest. Your teacher will give you a second set of number cards. Add these to the correct places in the ordered set. Exercise 36.4. 3: Comparing Points on A Line. Figure 36.4. 1. Use each of the following terms at least ... What is an “Ordering fractions from least to greatest worksheet”? Ordering fractions from least to greatest worksheet is a math practice sheet that incorporates application, reflection, and problem-solving with a challenge to aid students in creating and resolving their word problems. This activity will assist students in understanding the ...Ordering Fractions Use your fraction strips to compare the following fractions. Line up each fraction strip to see which fraction has the greatest length. Use >, <, or = to compare each pair of fractions. For example, when comparing 1/2 and 2/4, the fractions should be modeled and lined up as follows: 1. 4 3 3 2 2. 8 6 6 5 3. 3 2 6 3 4. 8 4 2 1 ... Comparing and Ordering Rational NumbersName. ... in order from least to greatest. 7. 3 1 7 8.0.44, 3/8, 0.5, 2/59. 0.2, 4/15, 0.21, 1/4 ... Worksheet 2.4 Comparing ... Now that the fractions are simplified, we can start the steps for ordering the simplified fractions 2/3, 1/2, and 3/4. Let's write some equivalent fractions for 2/3, 1/2, and 3/4. Pick three equivalent fractions that have the same denominators. Now, we order the equivalent fractions 8/12, 6/12, and 9/12 from least to greatest.A set of cut- paste fun activity is given, along with various other 1- digit, 2-digit, 3-digit, 4- digit, and 5-digit ordering worksheets. You will learn to order numbers in ascending order and descending order. Ascending order is arranging numbers from the least or the smallest number to the greatest or the biggest number. Descending order is ...Comparing Fractions and Decimals. This Fractions Worksheet is great for testing children for comparing Fractions and Decimals to see if they are greater than, less than or equal. You may select different denominators and have the problems be positive, negative or mixed. Decimal Review. Part 1: Write each number as a decimal. Part 2: Write the word name for each decimal. Part 3: Add or subtract the decimal numbers (hundredths and tenths) This section of our website has a set of worksheets for teaching students to order and compare decimal numbers. These math worksheets should be practiced regularly and are free to download in PDF formats. Ordering Fractions Worksheet - 1. Download PDF. Ordering Fractions Worksheet - 2. Download PDF. Ordering Fractions Worksheet - 3. Download PDF. Ordering Fractions Worksheet - 4. Download PDF.For some students ordering fractions and decimals is a bit difficult because of the way number are written or presented to them. Let's try to understand how to order decimals first with the help of a few examples. Assume we have numbers: 1.001, 0.113, and 1.101 Now, what we want you to do is order these numbers from least to greatest. Comparing Fractions and Decimals. This Fractions Worksheet is great for testing children for comparing Fractions and Decimals to see if they are greater than, less than or equal. You may select different denominators and have the problems be positive, negative or mixed.

From least to greatest (0-30) In these grade 1 math worksheets, students are given 3 numbers under 30 to order from least to greatest. The solutions are shown with "greater than" and "less than" symbols. Order 3 numbers: Worksheet #1 Worksheet #2 Worksheet #3. Worksheet #4. . Awesome cards collectibles and games

ordering fractions from least to greatest worksheet pdf

Ordering Numbers From Least To Greatest! TONS Of Great. Ordering Fractions, Decimals And Percentages Worksheet. These Free Ordering Fractions And Decimals From Least To Greatest Worksheets exercises will have your kids engaged and entertained while they improve their skills. Click on the image to view or download the image.Big Ideas LearningWe start out the early lesson and guided practice worksheet by doing a simple two-fraction comparison. This reminds students of the fundamental process. From there we go on to compare three fractions and order them from least to greatest. It helps if you get everything in the same denominator and make your comparison from there. Ordering Fractions Worksheet Order the fractions from smallest to greatest. 1 a. 11 2, 4 5, 6 9 1 b. 10 8, 1 2, 9 12 2 a. 10 5, 6 5, 2 8 2 b. 2 1, 8 10, 1 2 3 a. 8 5 ...Step 3: Order the fractions. Solution: Because 6 8 3 4 5 and 1 2 4 5 , from greatest to least the order is 3 4, 5 8, and 1 2. Because 8 is a multiple of 2 and 4, the LCD is 8. 1 2 4 4 4 8; 3 4 2 2 6 8 35 35 6 8 5 8 4 8.. EXAMPLE A To order decimals align the decimal points. Then compare the digits from left to right, just like you would compare ...Changing Fractions to Decimals and then Ordering. Conversion of fractions to decimals is another method of ordering fractions. Example 1. Arrange the following fractions in ascending order. 3/4, 1/2, 4/5, 3/8. Solution. First convert all the fraction to decimals as shown below: 3/4 = 0.75. 1/2 = 0.5. 4/5 = 0.8. 3/8 = 0.375 sea level as negative numbers . Then order the elevations from greatest to least . Step 1 Write the elevations as positive and negative rational numbers. Elevation is measured from sea level. Sea level is 0 meters. Boat 0 meters Lighthouse 40.8 meters Dock 6 meters Fish 27.9 meters Step 2 Order the numbers from greatest to least. Now, compare the numerators of like fractions above and order them from greatest to least. 100/500, 37/500, 25/500. Substitute the corresponding decimals. 0.2, 0.074, 1/20. Therefore, the order of the given decimal numbers from least to greatest is 0.2, 0.074, 1/20Ordering Fractions Worksheet Order the fractions from smallest to greatest. 1 a. 8 9, 1 2, 9 11 1 b. 5 12, 12 12, 1 12 2 a. 1 2, 4 9, 4 4 2 b. 3 11, 3 3, 7 11 3 a. 5 ...Try our free, printable ordering integers worksheets and watch children practice arranging integers in increasing and decreasing order in a jiffy! This eclectic worksheet collection includes a range of exercises, such as arranging integers in ascending or descending order using number lines, ordering integers from the greatest to the least and ...Compare Decimals #2(Tenths and Hundredths) For this activity, students will use common math symbols (greater than, less than, and equal) to compare pairs of numbers with decimals in them. (example: 6.21 < 6.23) 3rd through 5th Grades. View PDF. .

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