Question

A fraction becomes
1/
3
when 1 is subtracted from the numerator and it becomes
1/
4
when 8 is added to its denominator. Find the fraction.​

Answer 1

Answer:

5/12

Step-by-step explanation:

let the fraction be, p/q..

So,

1. (p-1)/q = 1/3

3p-3=q.

3p-q =3 -----------(1)

2. p/(q+8) =1/4

4p=q+8

4p-q=8 -------------(2)

Subtracting (1) from (2),

4p-q -(3p-q) = 8-3

p =5

Putting value of p in (1)

3(5)-q=3

15-3=q

q=12

FRACTION = 5/12

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