Question

The denominator of a rational number is greater than its numerator 3,it 3 is subtracted from the numerator and 2 is denominator than the new number
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Answer 1

Answer:

6/13

Step-by-step explanation:

Let the numerator be x. Then,

denominator of the rational number = x + 7

Therefore, the rational number = x/x+7

It is given that if 3 is subtracted from the numerator and 2 is added to its denominator, then new number becomes 1/5.

Therefore, x-3/(x+7)+2 = 1/5

=> x-3/x+9 = 1/5

=> 5x - 15 = x+9

=> 5x-x = 9+15

=> 4x = 24

=> x = 24/4 = 6

Putting x = 6 in (1), we get

Required rational number = 6/6+7 = 6/13