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

`(x)/(x + 4) = (9)/(15)`

`(x)/(x + 4) = (3)/(5)`

`5x = 3(x + 4)`

`5x = 3(x) + 3(4)`

`5x = 3x + 12`

`5x - 3x = 3x - 3x + 12`

`(2x)/(2) = (12)/(2)`

`x = 6`

Answer 2

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