Math, asked by vc136862, 9 months ago

inverse the ratio 5:9​

Answers

Answered by swathika1081
0

Answer:

9:5

Explanation:

5:9 will be inversed and it will be becoming as 9:5.

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Answered by pulakmath007
0

Inverse ratio of 5 : 9 is 9 : 5

Given :

The ratio 5 : 9

To find :

Inverse ratio of 5 : 9

Solution :

Step 1 of 2 :

Write down the given ratio

The given ratio is 5 : 9

Step 2 of 2 :

Find inverse ratio of 5 : 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 5 : 9

\displaystyle \sf{  =  \frac{1}{5}  :  \frac{1}{9}  }

\displaystyle \sf{  =  \frac{45}{5}  :  \frac{45}{9}  } \:  \: ( \:  \because \:  LCM \:  of  \: 5 \:  and \:  9 \:  is \:  45 \: )

\displaystyle \sf{  = 9 :  5  }

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

So Inverse ratio of 5 : 9 is 9 : 5

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