Question

the numerator of a fraction is 3 less than the denominator. if 1 is added to both its numerator and denominator, it becomes 1/2. find the fraction.

Answer 1

Answer: 2/5

Step-by-step explanation:

Let the denominator be x

Numerator = x-3

When 1 is added:

Denominator = x+1

Numerator = (x-3)+1

=x-3+1

=x-2

According to the question,

Numerator 1

------------------- = --

Denominator 2

x-2 1

----- = ---

x+1 2

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

2x-4 =1x+1

2x-4 =x+1

2x-x =1+4

x =5

Therefore denominator = x = 5

numerator =x-3=5-3

=2

The fraction is 2/5

Answer 2

Answer: In this question we don't have to find the fraction. The fraction is already given. We have to find the numerator and the denominator.

Step-by-step explanation: Let denominator = x. Therefore numerator = x - 3

x - 3 / x = 1 / 2

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

x - 2 / x + 1 = 1 / 2

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

2x - 4 = x + 1

2x - x = 4 + 1

x = 5

Therefor denominator = x = 5

numerator = x - 3 = 5 - 3 = 2

To check , (5 - 3 + 1) / (5 + 1)

3 / 6 =

1 / 2

If it helped please mark as brainliest