Question

Find the ratio of:
(a) 90 cm to 1.05 m
(b) 35 minutes to an hour
(c) 150 mL to 2 L
(d) 2 dozens to a score

Answer 1

(a) 90 cm:1.05 m (or) 90 cm:105 cm (1 m = 100 cm)
90 = 90 ​÷ 15 = 6 (H.C.F. of 90 and 105 is 15.)
105 105 ​÷ 15 7
$\therefore$ 6:7

(b) 35 minutes to an hour (or) 35 minutes:60 minutes (1 hour = 60 minutes)
35 = 35 ​÷ 5 = 7 (H.C.F. of 35 and 60 is 5.)
60 60 ​÷ 5 12
$\therefore$ 7:12

(c) 150 mL to 2 L (or) 150 L:2000 L (1 L= 1000 mL)
150 = 150 ​÷ 50 = 3 (HCF of 150 and 2000 is 50)
2000 2000​ ​÷50 40
$\therefore$ 3:40

(d) 2 dozens to a score (or) 24:20 (1 dozen = 12 and 1 score = 20)
24 = 24 ​÷ 4 = 6 (H.C.F. of 24 and 20 is 4)
20 20​ ​÷ 4 5
$\therefore$ 6:5