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32 24 20
(b) 32 : 24 : 20 = : : Divide the three parts by 4, that is,
4 4 4 the HCF of 32, 24 and 20.
= 8 : 6 : 5

3 7 3 7 Multiply both parts by 10, that is,
(c) : = × 10 : × 10
5 10 5 10 the LCM of 5 and 10.
= 6 : 7

Multiply the three
(d) 0.04 : 0.12 : 0.56 = 0.04 × 100 : 0.12 × 100 : 0.56 × 100 CHAPTER
parts by 100.
= 4 : 12 : 56
4 12 56 Divide the three parts by 4, that 4
= : :
4 4 4 is, the HCF of 4, 12 and 56.
= 1 : 3 : 14

Self Practice 4.1c

1. Express each of the following ratios in its simplest form.
(a) 240 g : 1.6 kg (b) 30 : 42 : 48
2 8
(c) : (d) 0.09 : 0.12 : 0.24
5 9

4.1 Open the folder downloaded from page vii for extra
questions of Mastery Q 4.1.

1. The diagram shows three squares, A, B and C.
4 cm
3 cm
2 cm

A B C

(a) Represent each of the following in the form of a : b : c.
(i) The length of square A to the length of square B to the length of square C.
(ii) The perimeter of square A to the perimeter of square B to the perimeter of
square C.
(iii) The area of square A to the area of square B to the area of square C.
(b) Write the equivalent ratios based on your answers in (a).
(c) What is the relationship between the numbers in the ratio of areas and the
numbers in the ratio of length?

79
Ratios, Rates and Proportions

04 TB Math F1.indd 79 11/10/16 12:12 PM