Question

What added to the numerator and denominator of the fraction 5÷12 to make it equal to 2÷3

Answer 1

$let \: the \: no. \: be \: x \\ \implies \frac{5 + x}{12 + x} = \frac{2}{3} \\ 3(5 + x) = 2(12 + x) \\ 15 + 3x = 24 + 2x \\ 3x - 2x = 24 - 15 \\ x = 9$

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Answer 2

Let The number be x

So, According to the Question

$\frac{5}{12}$ Is added to x and Sum of $\frac{5}{12}$ and x will be Equal to $\frac{2}{3}$

$\therefore \: \frac{5}{12} + x = \frac{2}{3}$

$= > x = \frac{2}{3} - \frac{5}{12}$

$= > x = \frac{2 \times 4}{3 \times 4} - \frac{5}{12}$

$= > x = \frac{8}{12} - \frac{5}{12}$

$= > x = \frac{8 - 5}{12} = \frac{3}{12}$

$= > x = \frac{1}{4}$

So, $\frac{1}{4}$ added to the numerator and denominator of the fraction $\frac{5}{12}$ to make it equal to $\frac{2}{3}$.