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Whole Numbers Divided by Fractions

Written by Adi Ackerman, Head Teacher

"Whole Numbers Divided by Fractions" is written for 6th Grade (Ages 11-12), and it covers Common Core 6.NS.A.1. If your student is a year younger but already steady on fraction multiplication & division, the page still works. You may just need to read the instructions out loud. And if they are older and divide fractions never quite stuck, this is a short review rather than busywork.

Popular with 6th Grade teachers · Downloaded 392 times
Whole Numbers Divided by Fractions
Whole Numbers Divided by Fractions

6th grade math worksheet: divide 16 whole numbers by fractions like 15 ÷ 3/4, where every quotient is a whole number. Answer key included. Part of our divide fractions fraction multiplication & division collection. Aligned to Common Core standards.

How do I use this worksheet?

Start with Whole Numbers Divided by Fractions, where every answer is whole, then move to fractions by fractions. Finish with the mixed review.

What students will practice

  • Students will multiply by the reciprocal, as in 3 ÷ 1/4 = 3 × 4/1 = 12.
  • Students will divide 16 whole numbers by fractions, such as 18 ÷ 2/5 = 45.
  • Students will check that each quotient is a whole number, like 16 ÷ 8/9 = 18.


Curriculum Links

Common Core State Standards

The Number System · 6th Grade

6.NS.A.1

Standard: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

View all 6.NS.A.1 worksheets →

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FAQ

How do I use this divide fractions worksheet?

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Start with Whole Numbers Divided by Fractions, where every answer is whole, then move to fractions by fractions. Finish with the mixed review.

What does this worksheet teach?

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Divide 16 whole numbers by fractions like 15 ÷ 3/4, where every quotient is a whole number. The directions on the page read: Divide. Each answer is a whole number. An answer key is included.

Can I use this divide fractions worksheet for homeschool or classroom?

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Yes, both. We made it for 6th Grade fraction multiplication & division, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with divide fractions. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

Why do you multiply by the reciprocal to divide fractions?

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Dividing asks how many groups of the divisor fit, and multiplying by the reciprocal gives that count. For 3 ÷ 1/4, there are 4 quarters in each whole, so 3 × 4 = 12.

What is keep, change, flip?

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It is a short name for the reciprocal method: keep the first fraction, change ÷ to ×, and flip the second fraction. 2/5 ÷ 3/4 becomes 2/5 × 4/3 = 8/15.

Do the divide fractions worksheets have answer keys?

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Yes. All 3 sheets have an answer key, and quotients greater than 1 are written as mixed numbers.

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Worksheet Details

Grade6th Grade
SubjectMath
TopicFraction Multiplication & Division
Standard6.NS.A.1
Pages1 page
DifficultyMedium

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