Question

The denominator of a fraction is 4 more than its numerator. On subtracting 1 from each numerator
and the denominator, the fraction become
$\frac{1}{2}$

.Find the original fraction.
​

Answer 1

Answer:

x =5

Step-by-step explanation:

x/x+4 = 1/2

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

x-1/x+3 =1/2

2(x-1) = 1( x+3)

2x-2= x+3

2x-x=3+2

x=5

Answer 2

Step-by-step explanation:

Let denominator be y and numerator be x.

According to question:

y=4+x-------(1)

x-1/y-1=1/2

2(x-1)=y-1

2x-2=y-1

2x-y=-1+2=1------(2)

By elimination method:

2x-y=1

-x+y=4

x=5------(3)

(3) in (1)

y=4+5=9

The fraction is 5/9.