the denominator of a fraction is 4 more than the numerator.

Question

the denominator of a fraction is 4 more than the numerator. if both numerator and denominator are increased by eight, the simplified results is 8/9. find the original fraction.

Answer 1

let n = the numerator

 n+4 = the denominator

So your fraction is

n/(n+4)

The second step says that if they are both increased by 8 the result is 8/9, so you just add eight to both

n+8/(n+4+8) = 8/9

Now cross multiply both sides to get

9*(n + 8) = 8*(n + 12)

9n + 72 = 8n + 96

n = 24

n + 4 = 28

and your original fraction is

24/28

As a check, add eight to both and you'll get

32/36 = (4*8)/(4*9) = 8/9

Answer 2

Hi  Arielle!

Simpler approach: for 8/9, the bottom is 1 more than top.

To get bottom 4 more than top, multiply (8/9) by 4 -- 32/36.

Subtract 8 from both top & bottom -- 24/28