Question

Find reciprocal of 8 2/5

Answer 1

$\displaystyle \sf{ The \: reciprocal \: of \: \: 8 \frac{2}{5} } \: \: is \: \: \frac{5}{42}$

Given :

The number $\displaystyle \sf{ 8 \frac{2}{5} }$

To find :

The reciprocal of $\displaystyle \sf{ 8 \frac{2}{5} }$

Solution :

Step 1 of 2 :

Define reciprocal of a number

We know that a number m is said to be reciprocal of n if m × n = 1

More precisely

$\displaystyle \sf{ The \: reciprocal \: of \: n \: is \: \: \frac{1}{n} }$

Step 2 of 2 :

Find the reciprocal of $\displaystyle \sf{ 8 \frac{2}{5} }$

$\displaystyle \sf{Here \: the \: given \: number \: is \: 8\frac{2}{5} }$

$\displaystyle \sf{ 8 \frac{2}{5} = \frac{42}{5} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: \frac{42}{5} }$

So by the given condition

$\displaystyle \sf{ n \times \bigg( \frac{42}{5}\bigg) = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{5}{42} }$

$\displaystyle \sf{ The \: reciprocal \: of \: \: 8 \frac{2}{5} } \: \: is \: \: \frac{5}{42}$

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