Math, asked by Sony4799, 8 months ago

Find the reciprocal of 2/5 × 4/9

Answers

Answered by Mihir1001

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$\huge\boxed{\fcolorbox{red}{#ffdfff}{reciprocal = 45/8}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

We have,

$\LARGE{ \frac{1}{ \frac{2}{5} \times \frac{4}{9} } }$

$\LARGE{ = \frac{1}{ \frac{(2)(4)}{(5)(9)} } }$

$\LARGE{ = \frac{1}{ \frac{8}{45} } }$

$\LARGE{ = \frac{45}{8} }$

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