Question

the denominator of a fraction exceeds the numerator by 4 and if 5 was taken away from each the sum of the reciprocal of the new fraction and four times the original fraction is 5 find the original​

Answer 1

Answer:3/4

Step-by-step explanation:

original fraction ---- x/(x+1) 

new fraction = (x-2)/(x-1) 

(x-1)/(x-2) + 4x/(x+1) = 5 

times (x-2)(x+1), the LCD 

(x-1)(x+1) + 4x(x-2) = 5(x-2)(x+1) 

x^2 - 1 + 4x^2 - 8x = 5x^2 - 5x - 10 

3x - 9 = 0 

x = 3 

original fraction is 3/4 

if it helps you then pls mark it as a brainliest answer.

Answer 2

ANSWER

The original fraction is 3/4