Question

Which simplified ratio correctly compares 12 yard to 20 feet? A) 3:5 B)5:3 C)5:9 D) 9:5

Answer 1

Solution:

Given ratio 12 yard to 20 feet,

To simplify the ratio, we first need to find the common multiples of 12 and 20,

to find the common multiples of 12 and 20, we need to factorise 12 and 20.

On factorisation, we get $12= 2*2*3$ and $20 = 2*2*5$.

Common multiples of 12 and 20 are $2*2$ that is 4.

And now simplifying the given ratio, 12 yard to 20 feet , that is $\frac{12}{20} = \frac{3}{5}$

Hence, Option A. 3:5 simplified ratio correctly compares 12 yard to 20 feet.

Answer 2

12 yard is equal to 36 feet
thus
36/20 = 9/5