Question

Which one of the following ratios is equivalent to 2:3?

• A. 1:2
• B. 4:8
• C. 4:6
• D. 3:6

Answer 1

The correct option is C 4:6

For equivalent ratios, the simplest forms of the ratios should be the same.
(a) 1:2 = (1 x 1):(2 x 1) = 1:2
(b) 4:8 = (1 x 4):(2 x 4) = 1:2
(c) 4:6 = (2 x 2):(3 x 2) = 2:3
(d) 3:6 = (1 x 3):(2 x 3) = 1:2

2:3 is in its simplest form because there are no common factors between the antecedent and the consequent except 1.

Therefore, 2:3 and 4:6 are equivalent ratios.