Question

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 orginal fraction

Answer 1

Let the denominator be x Let the numerator be x-3 Therefore fraction is x-3/x Given (X-3)+2/x+2=6/7 X-1/x+2=6/7 7(x-1)=6(x-2) 7x-7=6x-12 7x=6x-5 7x-6x=5 X=5 Therefore denominator=5 And numerator=2 Therefore fraction is 2/5