Question

what should be added to
$12 \times \frac{2}{15}$
to get
$18 \times \frac{9}{25}$

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Answer 1

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Answer 2

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$\longrightarrow 12 × \frac{2}{15}{=12\ × 15 + \frac{2}{15} = \frac {182}{15}}$

$\longrightarrow 18 \times \frac{9}{25}{=18 \times 25 + \frac{9}{25} = \frac{459}{25}}$

$\longrightarrow \frac{182}{15}{+ x =\frac{459}{25}}$

LCM of 25,15 is 75

So,

$\longrightarrow{x=459 \times \frac{3}{75} - 182 \times \frac{5}{75}}$

$\longrightarrow{x=\frac{1377}{75} - \frac{910}{75}}$

$\longrightarrow{x= \frac{467}{75}}$