Question

Find out the reciprocal of (3/7)

Answer 1

the reciprocal of 3/7 is 7/3

Answer 2

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{3}{7} } \: \: is \: \: \frac{7}{3}$

Given :

The number 3/7

To find :

The reciprocal of 3/7

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 for a non zero real number n

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

Step 2 of 2 :

Find the reciprocal of 3/7

$\displaystyle \sf{Here \: the \: given \: number \: is \: \frac{3}{7} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: \frac{3}{7} }$

So by the given condition

$\displaystyle \sf{ n \times \frac{3}{7} = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{7}{3} }$

FINAL ANSWER

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{3}{7} } \: \: is \: \: \frac{7}{3}$

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