Question

the equivalent rational form of 17.6 bar is​

Answer 1

Answer:

Step-by-step explanation:

Here X is equals to 17. 6666......

Then then 10 X is equals to 176.6666...

Subtract the two equations

You will get 9 x is equals to 159.000.......

X is equals to 159 by 9

Then X is equals to 53 by 3

X=53/3

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Answer 2

$\displaystyle \bf{ 17. \overline{6} = \bf \frac{53}{3} }$

Correct question : the equivalent rational form of $\displaystyle \sf{ 17. \overline{6} }$ is

Given :

The number $\displaystyle \sf{ 17. \overline{6} }$

To find :

The equivalent rational form

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 17. \overline{6} }$

Step 2 of 2 :

Find equivalent rational form

$\displaystyle \sf{ Let \: \: x = 17. \overline{6} }$

Then x = 17.666666... - - - - - - - (1)

Multiplying both sides by 10 we get

10x = 176.666666... - - - - - - (2)

Equation 2 - Equation 1 gives

9x = 159

$\displaystyle \sf{ \implies x = \frac{159}{9} }$

$\displaystyle \sf{ \implies x = \frac{53 }{3} }$

$\displaystyle \sf{ \therefore \: \: 17. \overline{6} = \frac{53}{3}}$

Which is of the form p/q where p , q are integers and q ≠ 0

$\displaystyle \sf{ 17. \overline{6} = \frac{53}{3}}$

This is the equivalent rational form

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Learn more from Brainly :-

$1.$ The sum of 0.3 bar and 0.2 bar is

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2. Convert 0.545454... in the form of p/q

https://brainly.in/question/22509543

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