Question

What is the reciprocal of -7/8 ?​

Answer 1

Answer: 8/-7

Step-by-step explanation:The reciprocal of -7/8 is 8/-7.

Answer 2

$\displaystyle \sf{ The \: reciprocal \: of \: \: - \frac{7}{8} } \: \: is \: \: - \frac{8}{7}$

Given :

The number - 7/8

To find :

The reciprocal of - 7/8

Solution :

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 - 7/8

$\displaystyle \sf{Here \: the \: given \: number \: is \: - \frac{7}{8} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: - \frac{7}{8} }$

So by the given condition

$\displaystyle \sf{ n \times \bigg(- \frac{7}{8}\bigg) = 1 }$

$\displaystyle \sf{ \implies \: n = - \frac{8}{7} }$

$\displaystyle \sf{ The \: reciprocal \: of \: \: - \frac{7}{8} } \: \: is \: \: - \frac{8}{7}$

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