Question

The numerator of a fraction is 4 less than the denominator. When 1 is added to both the
numerator and denominator, the fraction reduces to 3/5. Find the fraction.​

Answer 1

Step-by-step explanation:

let numerator = n

denominator = d

n=d-4

fraction =n/d = d-4/d

when 1 is added to both n and d then

d-3/d+1

then

((d-4)/d)-(3/4) = (d-3)/(d+1)

(4d-16-3d)/4d = (d-3)/(d+1)

(d-16)/4d= (d-3)/(d+1)

(d-16)×(d+1) = (d-3)×(4d)

d²-16d+d-16=4d²-12d

d²-15d-16=4d²-12d

3d²=-3d-16