Page 80 - Mathematics Coursebook

7.3 Comparing fractions

) Exercise 7.3

1 a Copy the number line.
0 1
2
1
Write the fractions and in the correct positions on the number line.
2 3
b Which is the larger fraction?
2 a Copy the number line.
0 1
Write the fractions 4 and 7 in the correct positions on the number line.
5 10
b Which is the larger fraction?
3 In each part of the question copy the shapes, then:
t shade in the fraction that is shown next to each shape
t write down which is the smaller of the two fractions.

a b
1 1 1 1 3 3 3 3 3 3 3 3 7 7 7 7
2 2 2 2 8 8 8 8 5 5 5 5 10 10
10
10
c d
1 1 1 1 1 1 1 1 3 3 3 3 1 1 1 1
3 3 3 3 2 2 2 2 8 8 8 8 4 4 4 4

4 Use your calculator to work out which is the larger of the two fractions in each pair.

a 1 and 3 b 5 and 13 c 1 and 2 d 2 and 3
4 10 8 20 6 15 7 8

5 Write the symbol < or > between each pair of fractions.
7
3
a 3 ... b 2 ... c 7 ... 11 d 8 ... 12
4 8 5 7 15 25 11 15
1
1
6 ‘ is bigger than because 8 is bigger than 7’. Is this correct? Explain your answer.
8
7
7 This is part of Roman’s homework. Is he right? Explain your answer.

Question Which is larger, 6 or 9 ?
31 47

Solution 6 = 6 ÷ 31 = 0.19 9 = 9 ÷ 47 = 0.19
31 47
Neither is larger as they are both the same size.

2
2
8 Hassan says: ‘I am thinking of a fraction. My fraction is bigger than but smaller than .
5 3
When I divide the numerator by the denominator I get an answer of 0.533.’
What fraction is Hassan thinking of?

7 Fractions 79