Grade 6 Fractions Worksheets

Master fractions step by step, from basic concepts to advanced problem solving

Common Core: 6.NS

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Learning Path

Start with Lesson 1 and work your way through!

How to solve Grade 6 fractions problems

Real problems from these worksheets, solved one step at a time — the same explanations your child sees when practicing online.

  1. Example 1

    Simplify the complex fraction (7/8) / (5/12)

    1. A complex fraction has a fraction in its numerator or denominator. Its main fraction bar means divide: (7/8) / (5/12) = 7/8 ÷ 5/12.
    2. Keep the first fraction, change ÷ to ×, and flip the second: 5/12 becomes 12/5.
    3. 7/8 ÷ 5/12 = 7/8 × 12/5.
    4. Multiply the numerators: 7 × 12 = 84. Multiply the denominators: 8 × 5 = 40.
    5. That gives 84/40.
    6. The greatest number that divides both 84 and 40 is 4.
    7. Divide the top and bottom by 4: 84 ÷ 4 = 21 and 40 ÷ 4 = 10, so 84/40 = 21/10.
    8. So (7/8) / (5/12) = 21/10.

    Answer: 21/10

  2. Example 2

    1 1/6 ÷ 4/5 = ?

    1. Write 1 1/6 as an improper fraction: 1 × 6 + 1 = 7, so 1 1/6 = 7/6.
    2. Keep the first fraction, change ÷ to ×, and flip the second: 4/5 becomes 5/4.
    3. 7/6 ÷ 4/5 = 7/6 × 5/4.
    4. Multiply the numerators: 7 × 5 = 35. Multiply the denominators: 6 × 4 = 24.
    5. That gives 35/24.
    6. 35/24 is more than 1 whole: 35 ÷ 24 = 1 with 11 left over, so 35/24 = 1 11/24.
    7. So 1 1/6 ÷ 4/5 = 1 11/24.

    Answer: 1 11/24

  3. Example 3

    A painter used 2/5 gallon of paint to cover 7/10 of a wall. How many gallons will it take to paint the whole wall?

    1. Write the story as a number sentence: 2/5 ÷ 7/10.
    2. Keep the first fraction, change ÷ to ×, and flip the second: 7/10 becomes 10/7.
    3. 2/5 ÷ 7/10 = 2/5 × 10/7.
    4. Multiply the numerators: 2 × 10 = 20. Multiply the denominators: 5 × 7 = 35.
    5. That gives 20/35.
    6. The greatest number that divides both 20 and 35 is 5.
    7. Divide the top and bottom by 5: 20 ÷ 5 = 4 and 35 ÷ 5 = 7, so 20/35 = 4/7.
    8. So 2/5 ÷ 7/10 = 4/7.

    Answer: 4/7

Frequently Asked Questions

Are these Grade 6 Fractions worksheets free?
All printable Fractions worksheets on MyMathKid are free to download and print. Answer keys are a premium feature available with a subscription.
How many Fractions worksheets are available for Grade 6?
There are 6 progressive Fractions lessons with worksheets for Grade 6, covering skills from foundational concepts to advanced problem solving.
Are these Fractions worksheets aligned to Common Core?
Yes — Grade 6 Fractions aligns with Common Core 6.NS (The Number System).
What will my child practice with these Fractions worksheets?
Your child will practice: Complex Fractions, Adding Mixed Numbers, Subtracting Mixed Numbers, Multiply & Divide Mixed, and more.