Question

The denominator of a fraction is 4 more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5, the fraction obtained is5/12 . Find the fraction.

Answer 1

Step-by-step explanation:

3/7

the fraction is 3/7

numerator –5-2= 3

denominator -3+5=7

Answer 2

Let the numerator be x .

so, denominator = x + 4

if ,

numerator = x + 2

and, denominator = x + 4 + 5 = x + 9

so, fraction = 5/12

according to question :

x+2/x+9 = 5/12

solve by cross multiplication,

=12(x +2) = 5(x+9)

=12x + 24 = 5x + 45

take the like terms to one side :-

= 12x - 5x  = 45 - 24

= 7x = 21

= x = 21/7

= x = 3

thus ,

numerator = x = 3

and, denominator = x + 4 = 3 + 4 = 7

hence, fraction =  .3/7