Question

What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24

Answer 1

The fraction is
`(9)/(15)`

Explanation:

`(36)/(60)` =
`(x)/(y)`

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So
`(x)/(y)` = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is
`(9)/(15)`