Question

the reciprocal of the rational number -17/7 is​

Answer 1

Answer:

-7/17

Step-by-step explanation:

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Answer 2

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{-17}{7} } \: \: is \: \: -\frac{7}{17}$

Given :

The number - 17/7

To find :

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{-17}{7} }$

Solution :

Step 1 of 2 :

Define reciprocal of a number

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

More precisely

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

Step 2 of 2 :

Find reciprocal of the rational number - 17/7

$\displaystyle \sf{Here \: the \: given \: number \: is \: \frac{-17}{7} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: \frac{-17}{7} }$

So by the given condition

$\displaystyle \sf{ n \times \frac{-17}{7} = 1 }$

$\displaystyle \sf{ \implies \: n = -\frac{7}{17} }$

$\displaystyle \sf{ The \: reciprocal \: of \: \: \frac{-17}{7} } \: \: is \: \: -\frac{7}{17}$

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