Question

Find the inverse ratio of 2:9​

Answer 1

Answer:

2:9 means 2/9

and it's inverse ratio or reciprocal=9/2or 9:2

Answer 2

Inverse ratio of 2 : 9 is 9 : 2

Given :

The ratio 2 : 9

To find :

Inverse ratio of 2 : 9

Solution :

Step 1 of 2 :

Write down the given ratio

The given ratio is 2 : 9

Step 2 of 2 :

Find inverse ratio of 2 : 9

We know that for a given ratio inverse ratio is a ratio of reciprocals of two quantities of given ratio .

Hence the required inverse ratio of 2 : 9

$\displaystyle \sf{ = \frac{1}{2} : \frac{1}{9} }$

$\displaystyle \sf{ = \frac{18}{2} : \frac{18}{9} } \: \: ( \: \because \: LCM \: of \: 2 \: and \: 9 \: is \: 18 \: )$

$\displaystyle \sf{ = 9 : 2 }$

In other words for a given ratio a : b the inverse ratio of a : b is b : a

So Inverse ratio of 2 : 9 is 9 : 2

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