Express the following ratios in simplest form:
(a) 6 1/5: 2 1/3
(b) 42 : 56
(a) Given ratios = 61/5 : 21/3
⇒ 31/5 : 7/3 ⇒ (31/5) ÷ (7/3)
⇒ (31/5) × (3/7) = 63/35 or 63 : 35
Hence, the required form of the ratio = 63 : 35.
(b) 42 : 56
⇒ 42/56 = (42 ÷ 14)/(56 ÷ 14) = 3/4 or 3 : 4
[HCF of 42 and 56 = 14]
Hence, the required form of ratio = 3 : 4.