Question

6. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the
denominator is increased by 1, then the fraction becomes1/8. find the fraction ​

Answer 1

Answer:

3/7

Step-by-step explanation:

Let the fraction be x-4/x.

As per condition,

x-4-2/x+1=1/8

x-6/x+1=1/8

8x-48=x+1

8x-x=1+48

7x=49

x=7

fraction is: 7-4/7=3/7

Answer 2

Step-by-step explanation:

let the denominator be x

then the numerator will be x-4

if numerator is decreased by 2 it will become x-4-2=x-6

if denominator is increased by 1 it will become x+1

then according to the question

x-6/x+1=1/8

cross multiply

8(x-6)=x+1

8x -48=x+1

8x-x=48+1

7x=49

x=49/7

x=7

if x is 7

then denominator is also 7

then numerator is 7-4=3

hence the fraction is 3/7