Question

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

Answer 1

Denominator = 80

Explanation:

Given:

The denominator is 16 greater than the numerator.

If the fraction is equivalent to 80 percent,

Question asked:

What is the denominator of the fraction ?

Solution:

Let numerator be
`x`

Then the denominator =
`x + 16` (given)

As the fraction is equivalent to 80%,

`(x)/(x+16)`
`= 80\%`

`(x)/(x+16) = (80)/(100) \\`

By cross multiplication,

`100* x = 80(x+16)\\100x = 80x + 1280\\`

By subtracting both side by
`80x`

`100x - 80 x = 1280\\20x = 1280`

By dividing both side by 20

`x = 64`

Thus, numerator =
`x` = 64

Then the denominator =
`x + 16`

= 64 + 16 =80