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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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 Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

Answer, Find, and Shade 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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

Answer, Find, and Shade 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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

Answer, Find, and Shade 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. Preview Print Answers

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. Preview Print Answers

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. Preview Print Answers

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). Preview Print Answers

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. Preview Print Answers

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%. Preview Print Answers

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. Version A Print Answers Version B Print Answers Preview