Question

The reciprocal of the fraction 5 2/8

Answer 1

$Given \: mixed \: fraction \: 5 \frac{2}{8}$

$= \frac{ 5 \times 8 + 2 }{8}$

$= \frac{40+2}{8}$

$= \frac{42}{8}$

$= \frac{ \cancel {2}\times 21}{\cancel {2} \times 4}$

$= \frac{21}{4}$

$Now, \red{ Reciprocal \:of \: 5\times \frac{2}{8}}$

$= Reciprocal \:of \: \frac{21}{4}$

$\green { = \frac{4}{21}}$

Therefore.,

$\red{ Reciprocal \:of \: 5\frac{2}{8}}$

$\green { = \frac{8}{42} = \frac{4}{21}}$

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Answer 2

Answer:

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Step-by-step explanation:

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