Question

the reciprocal of 22 1/2 is ​

Answer 1

$\displaystyle \sf{ The \: reciprocal \: of \: \: 22\frac{1}{2} } \: \: is \: \bf \frac{2}{45}$

Given :

$\displaystyle \sf{ The \: number \: \: 22\frac{1}{2} }$

To find :

The reciprocal of the number

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 the number

$\displaystyle \sf{Here \: the \: given \: number \: is \: 22 \frac{1}{2} }$

$\displaystyle \sf{Now, \: 22 \frac{1}{2}= \frac{45}{2} }$

$\displaystyle \sf{ Let \: \: n \: is \: \: reciprocal \: of \: \: 22\frac{1}{2} }$

So by the given condition

$\displaystyle \sf{ n \times \bigg(\frac{45}{2}\bigg) = 1 }$

$\displaystyle \sf{ \implies \: n = \frac{2}{45} }$

$\displaystyle \sf \therefore \: The \: reciprocal \: of \: \: 22\frac{1}{2} \: \: is \: \bf \frac{2}{45}$

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