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Divide Mixed Numbers by Fractions

Written by Adi Ackerman, Head Teacher

"Divide Mixed Numbers 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 dividing mixed numbers never quite stuck, this is a short review rather than busywork.

Popular with 6th Grade teachers · Downloaded 336 times
Divide Mixed Numbers by Fractions
Divide Mixed Numbers by Fractions

6th grade math worksheet: divide 12 mixed numbers by fractions, such as 5 1/7 ÷ 9/11, using the reciprocal. Answer key included. Part of our dividing mixed numbers fraction multiplication & division collection. Aligned to Common Core standards.

How do I use this worksheet?

Use Divide Mixed Numbers by Fractions first, then move to two mixed numbers. Ask students to show the improper fractions and the reciprocal for each problem.

What students will practice

  • Students will rewrite the mixed number as an improper fraction, as in 1 1/2 ÷ 3/4 = 3/2 × 4/3 = 2.
  • Students will divide 12 mixed numbers by fractions, such as 4 2/7 ÷ 1/3 = 12 6/7.
  • Students will write quotients like 3 4/5 ÷ 3/5 = 6 1/3 in simplest form.


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 dividing mixed numbers worksheet?

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Use Divide Mixed Numbers by Fractions first, then move to two mixed numbers. Ask students to show the improper fractions and the reciprocal for each problem.

What does this worksheet teach?

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Divide 12 mixed numbers by fractions, such as 5 1/7 ÷ 9/11, using the reciprocal. The directions on the page read: Divide. Write each answer in simplest form. Write improper fractions as mixed numbers. An answer key is included.

Can I use this dividing mixed numbers 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 dividing mixed numbers. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

How do you divide mixed numbers?

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Rewrite both numbers as improper fractions, then multiply by the reciprocal of the second. For 2 1/2 ÷ 1 1/4, that is 5/2 × 4/5 = 2.

Can a quotient of mixed numbers be less than 1?

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Yes, when the divisor is larger than the dividend. On Divide Mixed Numbers by Mixed Numbers, 2 2/5 ÷ 4 1/2 = 8/15.

Do these worksheets have answer keys?

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Yes. Both sheets have an answer key with every quotient in simplest form.

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Worksheet Details

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

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