Question

A fraction has a denominator that is 4 greater than its numerator. It is equivalent to 9/15. What is the fraction?

Answer 1

Et the numerator be x, so the denominator is x + 4. So we have: 

x/(x + 4) = 9/15 (cross multiply) 
15x = 9(x + 4) 
15x = 9x + 36 
15x - 9x = 9x - 9x + 36 
6x = 36 
6x/6 = 36/6
x = 6
x + 4 = 6 + 4 = 10

Sine the numerator is 6 and the denominator is 10, then the fraction is 6/10, which in the simplest form is equal to 3/5. 

Since 9/15 in the simplest form is also equal to 3/5, then 6/10 is equivalent to 9/15. 

Thus, 6/10 is the required fraction. hope  i helped

Answer 2

$\frac{x}{x + 4} = \frac{9}{15}$
$\frac{x}{x + 4} = \frac{3}{5}$
$5x = 3(x + 4)$
$5x = 3(x) + 3(4)$
$5x = 3x + 12$
$5x - 3x = 3x - 3x + 12$
$\frac{2x}{2} = \frac{12}{2}$
$x = 6$