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Dividing by Unit Fractions
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Dividing by Unit Fractions
A unit fraction has a numerator of 1. To divide by a unit fraction, multiply by its reciprocal. For example, 5 ÷ 1/4 = 5 × 4 = 20. Show your working where space is provided.
Calculate
1.Work out 7 ÷ 1/2. Show the multiplication by the reciprocal.
2.Work out 14 ÷ 1/7. Show the multiplication by the reciprocal.
3.Work out 18 ÷ 1/6. Show the multiplication by the reciprocal.
4.Which multiplication gives the same result as 11 ÷ 1/5?
- 11 × 5
- 11 × 1/5
- 5 × 1/11
- 11 ÷ 5
Use division in context
5.A length of cord is 5 metres. It is cut into pieces that are each 1/4 metre long. How many pieces can be cut?
6.A café has 8 kilograms of oats. Each tray of muesli bars needs 1/2 kilogram. How many trays can be made?
7.A walking track is 3 kilometres long. A group takes a short break after every 1/2 kilometre, but not at the finish. How many breaks do they take?
Show and explain
8.Draw a number line from 0 to 4. Mark jumps of 1/2 to show how many half-units fit into 4. Write the matching division statement and its answer.
9.Use the fraction bar to show how many pieces of size 1/3 fit into 5 wholes. Then write the division statement.
10.Explain why dividing a quantity by 1/4 gives the same answer as multiplying that quantity by 4.
11.A 6-litre container is poured into bottles that each hold 1/3 litre. Write a division equation and calculate the number of full bottles.
3 printable pages
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