Question

The ratio of the numerator to the denominator of a certain fraction is five to eight. If five is subtracted from the numerator and four is added to the denominator, the new fraction reduces to one-half. What is the original fraction?

Answer 1

Answer:

5x-5/8x+4=1/2

On cross multiplying

2(5x-5)=8x+4

10x-10=8x+4

10x-8x=4+10

2x=14

Therefore x=7

The original fraction=35/56

Answer 2

Answer:

35/56.

Step-by-step explanation

We can write the  original fraction as  5x / 8x  where x is some integer so our new fraction would be  5x - 5 /  8x + 4  and this equals 1/2. So we have the equation:

(5x - 5) / (8x + 4) = 1/2

10x - 10 = 8x + 4

2x = 14

x = 7

So the original fraction is  5(7)  /  8(7)

= 35/56.

= 7/8

= 30/44