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Fractions - Worksheets

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Basic Fractions - Level 1

This is a three page worksheet on basic fractions. Students are assessed on their knowledge of what a fraction is, and how to write a fraction using basic shapes and groups of objects.

Basic testing mistake by students: Not looking at the question to see whether it states SHADED or NOT SHADED.



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Comparing Fractions (CD) - Level 1

This is a three page worksheet on comparing fractions with common denominators. Students compare fractions by looking at figures, shading, and creating their own shaded figures.

Key concept: Relating a fraction to a visual picture.





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Comparing Fractions (CD) - Level 2

This is a three page worksheet on comparing fractions with common denominators. Using number lines, students plot points and label fractions to show which one is larger.

Student misunderstanding: While plotting notice how the fraction is between 0 and 1. A fraction is not a whole. It is a piece of a whole number.



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Comparing Fractions (UD) - Level 1

This is a three page worksheet on comparing fractions with unlike denominators. Students compare fractions by looking at figures, shading, and creating their own shaded figures.

Talk about: Use a few of the problems to show the difficulty of only using pictures to compare fractions.




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First Page of Comparing Unlike Denominators Worksheet

Comparing Fractions

These one page worksheets cover comparing fractions. Students use greater than, less than, and equal to, to compare fractions.

Helpful ideas: Use half to determine the size of fractions. The larger the denominator the smaller the pieces. For example: 4/5 and 4/7 both have 4 pieces but 4/7's pieces are smaller.

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Comparing Fractions - Level 1

This two page worksheet introduces comparing more than two fractions. It uses one-half as a helpful point to separate the fractions and better understand their values. Students first practice using one-half and then write fractions in order from least to greatest.

Key concept: Rather than always finding the common denominator students should better understand a fraction's value.


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Fractions and Number Lines
Level 1

This one page worksheet has students place fractions in the correct location on different number lines. Students can use the other number lines to help place the fractions.

Key concept: Students need to understand the value of fractions and where they are on a number line.


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Equivalent Fraction Pictures
Level 1

This one page worksheet uses pictures to help students better understand equivalent fractions. Students are given a fraction and then circle the fraction shapes that are equivalent.

Student misunderstanding: For the shapes to be a fraction the pieces must be the same size.



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Equivalent Fractions - Level 1

This is a three page worksheet on equivalent fractions. Students use and create shaded figures to visualize equivalent fractions.

Key concept: Understanding that even though the pieces are different sizes, they are still equal. Think about a piece of pie that you cut in half. Even though you now have two pieces, you still have the same amount.


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Equivalent Fractions - Level 2

This is a three page worksheet on equivalent fractions. Students multiply and divide by one to change fractions. In other words, what ever you do to the top you must do to the bottom and vise versa.

Key concept: Students need to understand that 1 can be written as a fraction. Examples: 2/2, 3/3, 6/6, and so on. Also, anything multiplied or divided by 1 stays the same. Example: 4 x 1 = 4 and 4 ÷ 1 = 4


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First Page of Equivalent Fractions Worksheet LEVEL 2

Improper Fractions and Mixed Numbers - Level 1

This is a three page worksheet on visualizing improper fractions and mixed numbers. Students use shapes to better understand these fractions.

Talk about: IMPROPER (not right), ask students what looks wrong with an improper fraction (top number is bigger than bottom number). MIXED, what does your mom do while cooking? You have a whole number and a fraction. They are mixed.

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First Page of Improper Fractions and Mixed Numbers
		Worksheet LEVEL 1

Improper Fractions to Mixed Numbers - Level 2

This is a two page worksheet on changing improper fractions to mixed numbers. Students use long division to rewrite the fractions.

Student misunderstanding: Most students get confused when switching a fraction to long division. They usually ask, "Which number goes inside?" Tell them the story of the fraction hating monster who loves pushing fractions over. See Changing a Fraction to Division Help Page.

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First Page of Improper Fractions to Mixed Numbers
		Worksheet LEVEL 2

Mixed Numbers to Improper Fractions - Level 2

This is a two page worksheet on changing mixed numbers to improper fractions. Students multiply the denominator and the whole number, and then add the numerator.

Why learn this: This process is needed when students multiply and divide mixed numbers.



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First Page of Mixed Numbers to Improper Fractions 
		Worksheet LEVEL 2

Improper Fractions and Mixed Numbers - Level 3

This one page worksheet is on changing improper fractions to mixed numbers and changing mixed numbers to improper fractions. Students use their knowledge from level 2 to solve the problems.

Student misunderstanding: If students are still struggling, it usually means they need to practice their basic multiplication and division facts.


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		Worksheet LEVEL 3

Simplifying Fractions - All Levels

This is a three page worksheet on simplifying fractions. Students should already understand basic fractions and division. They use their factor and division knowledge to simplify fractions. Students do not need to know GCF to simplify, but they do need to know basic divisibility rules.

Basic testing mistake by students: Not simplifying final answer.


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		Worksheet ALL LEVELS

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Solving Proportions

These one page art worksheets review proportions. Students find the missing value. Can study proportions as equivalent fractions. Drawing is the same but the questions are different for each level.

Helpful idea: The pattern is seen best from a distance.

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Adding and Subtracting Fractions with Common Denominators
Level 1

One page worksheet on adding and subtracting fractions with common denominators. It also includes simplifying fractions.

Student misunderstanding: Students try to add the denominators (bottom numbers). If the denominators are the same then the pieces are the same size. This allows us to combine the pieces into one fraction.

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		Common Denominators - LEVEL 1

Adding Fractions with Unlike Denominators - Level 1

This one page worksheet covers adding fractions with unlike denominators. It does not have any simplifying or improper fractions in the final answers.

Student misunderstanding: Why do we need common denominators? If the denominators are different then the pieces are different sizes. You can not add if the pieces are not the same size.

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Adding Fractions with Unlike Denominators - Level 2

This math art page uses shading to create a picture. Students find the common denominator to add fractions.

Student misunderstanding: Students need to know their basic multiples to find the common denominator. It's a good idea to practice basic multiplication facts on a regular basis.

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		Fractions - LEVEL 2

Subtracting Fractions with Unlike Denominators - Level 1

This one page worksheet covers subtracting fractions with unlike denominators. It does not have any simplifying or improper fractions in the final answers.

Student misunderstanding: Why do we need common denominators? If the denominators are different then the pieces are different sizes. You can not subtract if the pieces are not the same size.

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Preview of Subtracting Fractions with Unlike Denominators 
		- LEVEL 1

Subtracting Fractions with Unlike Denominators - Level 2

This one page worksheet covers subtracting fractions with unlike denominators. It includes simplifying fractions.

Student misunderstanding: Students need to know how to simplify the answer. Remember, you must do the same to the denominator and numerator OR whatever you do to the bottom you need to do to the top.

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		- LEVEL 2

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Subtracting Fractions with Unlike Denominators - Level 2

This math art page uses shading to create a picture. Students find the common denominator to subtract fractions.

Student misunderstanding: Students need to know their basic multiples to find the common denominator. It's a good idea to practice basic multiplication facts on a regular basis.

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		Fractions - LEVEL 2

Subtracting Fractions Maze

These one page maze worksheets have students answer subtracting fraction problems and then use the answers in the numerator or dominator to move Mr. Bunny in the stated direction to find the missing egg. There is a different worksheet for each level.


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Adding Mixed Numbers Video - All Levels

This video covers adding mixed numbers. It explains how to add in three easy steps. The video includes examples and additional review to help students better understand how to solve the problems. In the Fraction Worksheets section there are three different handouts that can be used as additional resources for students while they watch the video.

NOTE: The video link below will take you to VIMEO. It is a website where the video is being hosted.



Adding Mixed Numbers Video
Screen shot of Adding Mixed Numbers Video

Adding Mixed Numbers with Common Denominators
Level 1

This one page worksheet introduces adding mixed numbers. It only has fractions with common denominators and includes examples and other help to guide students to a better understanding.

Student misunderstanding: A mixed number includes a whole number and a fraction. The whole number is just a fraction that is whole or complete.

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Adding Mixed Numbers with Unlike Denominators
Level 1

This one page worksheet continues adding mixed numbers. It has fractions with unlike denominators and includes examples and other help to guide students to a better understanding.

Student misunderstanding: Before you add fractions they have to have common denominators so the fractions' pieces are the same size.

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Preview of math worksheet, Adding Mixed Numbers with Unlike Denominators - Level 1

Adding Mixed Numbers
Level 1

This one page worksheet finishes adding mixed numbers. It has fractions with common and unlike denominators and includes improper fractions.

Key concept: Add fractions and mixed numbers (like and unlike denominators), and express answers in the simplest form.



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Subtracting Mixed Numbers with Common Denominators - Level 1

This two page worksheet introduces subtracting mixed numbers with common denominators. It includes examples and other help to guide students to a better understanding.

Teacher misunderstanding: Just borrow one from the whole number, do not change the entire whole number into an improper fraction. You would not do this with time or money, so why fractions?

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		 - Level 1

Subtracting Mixed Numbers with Unlike Denominators - Level 1

This two page worksheet continues subtracting mixed numbers. Students will need to find the common denominator and borrow. It includes examples and other help to guide students to a better understanding.

Key concept: Students should be able to subtract fractions and understand that a whole can be written as a fraction.

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		 - Level 1

Multiplying Fractions - Level 1

This two page worksheet introduces multiplying fractions. The first page relates multiplication to division and uses a more visual concept to help students understand what they are doing. The second page introduces the basic idea of multiplying the numerators and the denominators (multiplying straight across).

Student misunderstanding: Make sure students are simplifying their answers.

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First page of Multiplying Fractions - LEVEL 1

Multiplying Fractions
Alternative Version - Level 1

This two page worksheet also introduces multiplying fractions, but is less visual then the above worksheet. It uses the basic idea of multiplying the numerators and the denominators (multiplying straight across).

Key concept: This worksheet stresses how to multiply fractions and does not really cover why we solve the way we do.


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		- LEVEL 1

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Dividing Fractions - Level 2

This math art page uses shading to create a picture. Students divide fractions using the reciprocal method and cross canceling to simplify.

Student misunderstanding: When dividing fractions change the division to multiplication and flip the fraction on the right.



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		Fractions - LEVEL 2

Mixed Numbers
Multiplication and Division - Level 3

This one page worksheet reviews multiplication and division of mixed numbers. Students need to change a mixed number to an improper fraction and be able to find the reciprocal of a fraction.

Student misunderstanding: Change mixed numbers to improper fractions before you multiply or take the reciprocal. When dividing only take the reciprocal of the fraction to the right of the division sign. Just flip it.

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Stained Glass
Estimating Fractions - Level 2

This art worksheet covers estimating fractions. Students need to estimate the mixed numbers to the nearest whole number and then solve. Each student chooses their own colors to create a unique art project.

Student misunderstanding: Estimating is something to make your life easier, so students need to estimate before trying to solve the problem.

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Fraction Word Problems - Level 3

This one page worksheet uses fractions to solve more complex word problems. Students use fractions to calculate parts of the total and the difference between two items.

Key concept: By using fractions students can visualize pieces of the total and break it down into individual parts. This allows them to determine different quantities for separate groups within the total.

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Preview of Fraction Word Problems - Level 3

Changing Fractions to Decimals
Level 1

This two page worksheet introduces changing fractions to decimals using long division and prior decimal knowledge (adding zero's after a decimal, repeaters, etc.).

Student misunderstanding: Lots of students get confused with which number goes inside (dividend) and which one goes outside (divisor). They usually think the bigger number goes inside.

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First page of Changing Fractions to Decimals - LEVEL 1

Changing Decimals to Fractions
Level 1

This two page worksheet introduces changing decimals to fractions. It covers up to thousandths and includes simplifying fractions.

Helpful hint: When changing a decimal to a fraction, every digit to the right of the decimal means a zero in the denominator. Example: 0.19 has two digits to the right of the decimal, so the fraction would be 19/100 (the denominator has two zeros).

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First page of Changing Decimals to Fractions - LEVEL 1

Fractions and Percents - Level 1

This two page worksheet covers rewriting percents as fractions and fractions as percents. Students should already know how to simplify fractions, do long division with decimals, and change a decimal to a percent.

Helpful review: Fractions to Decimals and Decimals to Percents good review. Also, Simplifying Fractions and Long Division with Decimals - Level 2 can help.


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Percents and Factions - LEVEL 1

Fractions and Percents - Level 2

This two page worksheet continues rewriting percents as fractions and fractions as percents. Students should already understand simplifying fractions, long division with decimals, changing decimals to percents, mixed numbers, and improper fractions.

Student misunderstanding: More than 100% is a whole number, and a whole number is more than 100%.

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Percents and Factions - LEVEL 2

Stained Glass - Level 2
Comparing Fractions and Decimals

This one page art worksheet covers comparing fractions and decimals. Students circle the greatest amount in each group and then color the related shapes in the picture. Each student chooses their own colors to create a unique art project.

Key concept: Students need to be able to compare fractions and decimals and be able to visualize the size of a number.

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Preview of math worksheet, Comparing Fractions and Decimals - Level 2

Percents, Decimals, and Fractions
Level 3

Students write numbers as percents, decimals, and fractions. Use the above handouts for review if necessary. There are two versions of this handout.


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Preview of Percents, Decimals, and Fractions 
		 Level 3 - Version A

Answer, Find, and Shade
Arithmetic with Rational Numbers
Level 2

This one page art worksheet reviews arithmetic with rational numbers, positive and negative integers, fractions, and decimals.

Key concept: Students need to know and review their basics to progress through higher math.


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Fraction, Decimal, Percent Review

These one page art worksheets review fractions, decimals, and percent. Problems include finding the greatest number, percent and fraction of a number, arithmetic with fractions and decimals, and a word problem.

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