Question

The numerator of a fraction is 1 less than the denominator. If numerator is decreased by 2 and
denominator is increased by 3, the fraction becomes 1/4 . Find the fraction.

Answer 1

Step-by-step explanation:

let the numerator be x

The fraction becomes

According to question

⇒

⇒

⇒

⇒ x = -8,3

When x = −8Then numerator = −8denominator = −7fraction = −8−7 = 87 [rejected as, numerator is not less than denominator]When x = 3numerator = 3denominator = 4fraction = 34So, the required fraction is 34

Answer 2

Answer:

4/5

Step-by-step explanation:

Let the denominator be x and the numerator will be x-1.

If the numerator is decreased by 2 and denominator increased by 3:

=> x-1-2/x+3=1/4

=> x-3/x+3=1/4      

             

=> 4(x-3)=1(x+3)

=> 4x-12=x+3

=> 4x-x=3+12

=> 3x=15

=> x = 5

∴ The fraction is 4/5

Hope it helps!