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Division Creates Fractions
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Division Creates Fractions
Show your working where useful. A fraction can represent the result of dividing a quantity into equal parts.
Division and equal parts
1.A whole pikelet is shared equally among 6 people. What fraction of the pikelet does each person receive?
- 1/3
- 1/6
- 6/1
- 1/12
2.Write 1 ÷ 7 as a fraction.
3.Select every situation that divides an amount into equal parts.
- A loaf cut into 5 slices of the same size
- A length of string cut into pieces of different lengths
- A rectangle split into 4 equal sections
- A handful of lollies shared out with one person receiving more
Fractions on a number line
4.Mark 5/8 on the number line from 0 to 1. Divide the line into equal intervals first.
5.The interval from 0 to 1 is split into 9 equal steps. What fraction is at the seventh step after 0?
6.Match each division calculation to its fraction result.
- 1 ÷ 3
- 5 ÷ 6
- 2 ÷ 5
- 1 ÷ 9
- 1/3
- 5/6
- 1/9
- 2/5
Fraction language and problem solving
7.In the fraction 7/10, what is the name of the top number, and what is the name of the bottom number?
8.Which word completes the sentence? When we split a whole into equal parts, we ______ it.
- partition
- estimate
- subtract
- multiply
9.Give three different ways to represent one half: use fraction notation, write it in words, and show it as a division calculation.
10.A 3-metre length of cord is cut into 5 equal pieces. What length, in metres, is each piece? Give your answer as a fraction.
11.Draw one whole divided into 8 equal parts, then shade 3 parts to show 3/8.
12.Explain why dividing 1 by 4 gives the fraction 1/4.
13.The division 9 ÷ 5 can be written as 9/5. Is 9/5 greater than or less than 1? Explain how you know.
3 printable pages
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