Question

Express 0.327 bar in form of p by q​

Answer 1

Step-by-step explanation:

0.327327.....

let x = 0.327327....

multiply by 1000 on both side

1000x = 0.327327... × 1000

1000x = 327.327327....

1000x = 327 + 0.327327...

1000x = 327 + x

1000x - x = 327

999x = 327

x = 327/999

x = 19/333

Answer 2

$\displaystyle \bf{ 0. \overline{327} = \bf \frac{109}{333} }$

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

Given :

The number $\displaystyle \sf{ 0. \overline{327} }$

To find :

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

Solution :

Step 1 of 2 :

Write down the given number

The given number is $\displaystyle \sf{ 0. \overline{327} }$

Step 2 of 2 :

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

$\displaystyle \sf{ Let \: \: x = 0. \overline{327} }$

Then x = 0.327327327... - - - - - - - (1)

Multiplying both sides by 1000 we get

1000x = 327.327327327... - - - - - - (2)

Equation 2 - Equation 1 gives

999x = 327

$\displaystyle \sf{ \implies x = \frac{327}{999} }$

$\displaystyle \sf{ \implies x = \frac{109 }{333} }$

$\displaystyle \sf{ \therefore \: \: 0. \overline{327}= \frac{109}{333}}$

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

#SPJ3