A fraction equivalent to 4/5 is given. The sum of the numerator and the denominator of the equivalent fraction is 135 what is the equivalent fraction?

2 Answers

4+5=9

135/9=15

15 xx 4= 60
15 xx 5=75

60+75=135

60/75

Jun 20, 2018

The equivalent fraction is: 60/75

Explanation:

From the problem, we get that the proportion of the numerator n over the denominator d is 4/5:
n/d = 4/5

which means:
n=4/5d

In addition, the problem states that:
n+d=135

So we have a system of 2 equations.
By substitution:
4/5d+d=135

9/5d=135

d=135*5/9 = 75

n = 4/5d = 4/5*75= 60

So, the equivalent fraction: n/d = 60/75