Question

the numerator of a fraction is more than its denominator if its reciprocal is subtracted from 8 the difference is 33/ 28 find the fraction

Answer 1

n= x+1. denominator = x.

8 - x / x+1

8x+8-x / x + 1

7x + 8 / x+ 1 = 33/28

by cross multiply

28 ( 7x +8) = 33(x+1)

196x + 224 = 33x + 33

196x - 33 = 33 - 224

163x. = -191

x = -191/163 answer