Question

the denominator of a fraction is greater than its numerator by 2 if 4 is added to the numerator and 9 to the denominator, the new fraction is equivalent with 1/2. find the fraction​

Answer 1

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the numerator be x

So, denominator = x+2

$\frac{x+4}{x+2+9}$ = $\frac{1}{2}$

$\frac{x+4}{x+11}$ = $\frac{1}{2}$

2(x + 4) = x + 11

2x + 8 = x + 11

2x - x = 11 - 8

x = 3

So fraction is $\frac{3}{5}$

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