Answer:
The fraction is [tex]\frac{9}{15}[/tex]
Step-by-step explanation:
[tex]\frac{36}{60}[/tex] = [tex]\frac{x}{y}[/tex]
Where x and y are the numerator and denominator of our new fraction respectively.
Also given is that x + y = 24
So [tex]\frac{x}{y}[/tex] = 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 [tex]\frac{9}{15}[/tex]
