Question

Express in p/q from 0.81 bar

Answer 1

Answer:

Step-by-step explanation:

x = 0.81818181......

100x = 81.8181818181.........

    -x =  0.8181818181............

99x =  81

x = 81/99

x = 9/11

Thank you

Please mark as Brainliest

Please read my name

Answer 2

$\displaystyle \bf{ 0. \overline{81} = \frac{9}{11} }$

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

Given :

The number $\displaystyle \sf{ 0. \overline{81} }$

To find :

To express in the form p/q

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 0. \overline{81} }$

Step 2 of 2 :

Express in the form p/q where p , q are integers and q ≠ 0

$\displaystyle \sf{ Let \: \: x = 0. \overline{81} }$

Then x = 0.81818181... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 81.81818181... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 81

$\displaystyle \sf{ \implies x = \frac{81}{99} }$

$\displaystyle \sf{ \implies x = \frac{9}{11} }$

$\displaystyle \sf{ \therefore \: \: 0. \overline{81} = \frac{9}{11}}$

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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

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

https://brainly.in/question/26672653

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

https://brainly.in/question/22509543