MathsFreePrintable

Division Remainders as Fractions

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Division Remainders as Fractions

Convert division remainders into fractional parts of the divisor. Simplify fractions where possible, and include units in word-problem answers.

Write remainders as fractions

A remainder is written over the divisor. For example, 20 ÷ 6 = 3 remainder 2 = 3 2/6 = 3 1/3.

1.Write 17 ÷ 5 as a mixed number in simplest form.

2.Calculate 26 ÷ 7, then express the result as a mixed number.

3.Find the quotient and remainder for 34 ÷ 9. Then write the quotient as a mixed number.

4.Write 41 ÷ 6 as a mixed number in simplest form.

5.Calculate 39 ÷ 8. Give your answer as a mixed number.

Apply your skills

Use a fraction of the divisor when the problem asks how much of one more group, item, or unit is needed.

6.Twenty-nine hikers are sharing places in vans that each hold 8 people. How many full vans are filled, and what fraction of one more van's capacity is needed?

7.A $53 meal bill is split equally among 6 friends. How much does each friend pay? Give the amount as a mixed number of dollars.

8.Forty-three litres of juice are poured equally into 5 large containers. How many litres go into each container? Express the amount as a mixed number.

9.Thirty-one metres of ribbon are cut into pieces that are each 4 metres long. How many complete pieces can be cut, and what fraction of another 4-metre piece remains?

10.Thirty-five equal-sized scones are shared among 6 people. Which answer best describes each person's share?

5 scones each, with 5 scones left over
5 5/6 scones each
5 1/6 scones each
6 scones each

11.Give one real-life situation in which writing a division remainder as a fraction gives more information than saying only “remainder 3”. Include a suitable division example and explain what the fraction means.