Question

The denominator of a fraction is greater than the numerator by 3. 7 is added to the numerator, the fraction increases by its unity. find the fraction​

Answer 1

Answer:

The fraction is  → 4/7

Step-by-step explanation:

Let the numerator be x and the denominator be x + 3

then the fraction is x/x+3

x+7/x+3 = [x/x+3] + 1

x+7/x+3 = x+x+3/x+3 [taking L.C.M]

x+7/x+3 = 2x+3/x+3

x+7 = 2x+3 [cancelling the denominator]

7-3 = 2x-x

4 = x

Hence the fraction is 4/4+3  → 4/7