Question

14. The numerator of a fraction is 5 less than its
denominator. If 1 is added to the numerator
2
3.
Find the fraction.
and to the denominator, the new fraction is }​

Answer 1

Step-by-step explanation:

given that

denominator =5+numerator

let us consider denominator has 'x'.

x=x+5

the fraction is x-5/x.

after adding 1 to the numerator

we get x-4/x

given the x-4/x =2/3

( cross multiplication )

2(x)=3(x-4)

2x=3x-12

12=3x-2x

12=x

x=12

old fraction=12-5/12=7/12

new fraction=12-5+1/12=8/12=2/3