Question

The numerator and the denominator of a fraction are each reduced by 1, the resultant
fraction equals to 23. If they are reduced by 3 each, the resultant fraction equals to '/ . Find
the fraction.​

Answer 1

Answer:

3/5

Step-by-step explanation:

Let a/b represent the fraction.

(a+1) / (b+1) = 2/3

(a–2) / (b-2) = 1/3

Cross-multiplying, we have:

3a+3 = 2b+2

3a–6 = b-2

Now, subtract the second equation from the first:

9 = b+4 or b = 5.

If, 3a–6 = b-2, then 3a–6

5-2 = 3, so 3a = 9 and a=3.

Therefore, the fraction is 3/5.