Question

The numerator and the denominator of a fraction are in the ratio of 3 : 2. If 3 is added to the numerator and 2 is subtracted from the denominator, a new fraction is formed whose value is \frac{9}{4} 4 9 ​ (9÷4). Find the original fraction.​

Answer 1

Answer:

The numerator and the denominator of a fraction are in the ratio 3:2 . If 3 is added to the numerator and 2 is subtracted from the denominator, a new fraction is formed whose value is 9/4. Find the original fraction. Hence, the required fraction is 15/10

Answer 2

Answer:

I have solved it below .

Explanation:

Let the numerator be 3x.

Let the denominator be 2x.

So , As The Problem ,

$\frac{3x + 3}{2x - 2} = \frac{9}{4}$

$= > 4(3x + 3) = 9(2x - 2)$

$= > 12x + 12 = 18x - 18$

$= > 18 + 12 = 18x - 12x$

$= > 6x = 30$

$= > x = 5$

Hope this helps you.

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