Question

0.21 bar in p/q form.

Answer 1

Heya !!




0.21 ( bar on 21 )




Let X = 0.21


Then X = 0.2121 -------(1)



Multiply equation (1) by 100 we get,

100X = 21.2121 ----------(2)


Subtract equation (1) from equation (2) we get,



100X= 21.2121
X = 0.21

------------------------



99X = 21


X = 21/99 = 7/33 [ P/Q form ]


Hence,



0.21 ( bar on 21) is of the form of 7/33 which is in the form of P/Q.

Answer 2

$\displaystyle \bf{ 0. \overline{21} = \frac{7}{33} }$

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

Correct question : Express $\displaystyle \bf{ 0. \overline{21} }$ in p/q form

Given :

The number $\displaystyle \sf{ 0. \overline{21} }$

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 $\displaystyle \sf{ 0. \overline{21} }$

Step 2 of 2 :

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

$\displaystyle \sf{ Let \: \: x = 0. \overline{21} }$

Then x = 0.21212121... - - - - - - - (1)

Multiplying both sides by 100 we get

100x = 21.21212121... - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 21

$\displaystyle \sf{ \implies x = \frac{21}{99} }$

$\displaystyle \sf{ \implies x = \frac{7 }{33} }$

$\displaystyle \sf{ \therefore \: \: 0. \overline{21} = \frac{7}{33}}$

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