Question

In a fraction the numerator is 1 less than the denominator. If 1 is added to the numerator and 4
to the denominator the fraction becomes 1/2 . Find the original fraction. ​

Answer 1

Suppose that the denominator of the fraction is x; then, the original fraction is:

(x - 1)/x

When we add 1 and 5 in the numerator and denominator respectively, we have the following equation:

[(x - 1) + 1]/(x + 5) = 1/2

Solving for the variable x:

x/(x + 5) = 1/2

2x = x+5

x = 5

Then, the initial fraction is:

(x - 1)/x

(5 – 1)/5 = 4/5

Let's check:

[(x - 1) + 1]/(x +5) = 1/2

x/(x + 5) = 1/2

5/10 = 1/2

1/2 = 1/2

Answer 2

Answer:

3/4

Step-by-step explanation:

let the numerator be x and the denominator be x+1

x/x+1 is the fraction

x+1/x+1+5=1/2

=x+1/x+5=1/2

2(x+1)=x+5

2x+2=x+5

x=3

so x+1=4