Fraction division: printable worksheets

Divide fractions by fractions, whole numbers by fractions, fractions by whole numbers and mixed numbers, with a fraction-bar or number-line model, keep-change-flip or common-denominator steps and optional word problems.

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Sample worksheet

The first 6 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.

\frac{1}{2} \div \frac{2}{3} =

2 \div \frac{1}{2} =

\frac{3}{4} \div 9 =

A plank is

\frac{1}{2}

yards long. Cut pieces

\frac{1}{12}

yards long. How many?

3 \div \frac{1}{3} =

\frac{5}{6} \div 5 =

Show answers

\frac{3}{4}

2.4

\frac{1}{12}

4.6

5.9

\frac{1}{6}

What students practise

I can divide fractions, whole numbers and mixed numbers and explain what the answer means.

Students divide fractions, whole numbers and mixed numbers, including a fraction divided by a whole number, using a model or the reciprocal, and say how many groups of the divisor fit in the dividend.

Key words

reciprocal: a fraction turned upside down, so the top and bottom swap places and the two multiply to one
dividend: the amount being divided
divisor: the amount we divide by
mixed number: a whole number and a fraction written together

Common mistakes

Flips the first fraction, or both fractions.
Multiplies straight across without flipping the divisor.
Expects dividing to always make the number smaller.

Standards

Common Core State Standards this worksheet practises.

6.NS.A.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, for example by using visual fraction models and equations to represent the problem. (unverified)

Before this: Multi-digit multiplication (Grade 4)
Next: Two-step equations (Grade 7)