Question

By which rational number would you multiply 8/21 , to get the product 1  ​

Answer 1

Step-by-step explanation:

To get the product 1 , we should multiply 8/21 by 21/8 i.e (c). because the product of any number with its reciprocal results 1. So, the option (c) 21/8 is the answer.

Answer 2

The number must be multiplied by 21/8

Given :

The number 8/21

To find :

The rational number would you multiply 8/21 , to get the product 1 

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = n

So by the given condition

$\displaystyle \sf n \times \frac{8}{21} = 1$

Step 2 of 2 :

Find the number

$\displaystyle \sf n \times \frac{8}{21} = 1$

$\displaystyle \sf{ \implies }n = \frac{1}{ \frac{8}{21} }$

$\displaystyle \sf{ \implies }n = 1 \times \frac{21}{8}$

$\displaystyle \sf{ \implies }n = \frac{21}{8}$

Hence the required number is 21/8

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