Question

10. The numerator of a fraction is 3 less than the denominator. If both the numerator and denominator
are increased by 2. the new fraction becomes 6/7 . Find the original fraction.​

Answer 1

Step-by-step explanation:

let the denominator be x

and numerator be x-3

according to the condition

x+2/(x-3)+2 = 6/7

x+2/x+2-3= 6/7

x+2/x-1 = 6/7

7(x+2)=6(x-1)

7x+14=6x-6

7x-6x=-6-14

x=-18

x-3= -18-3

=-21

therefore numerator is -21 and denominator is -18

fraction is -21/-18= 7/6