Question

1.323(bar23) in the form of p/q full solution

Answer 1

1.323 bar 23

X= 1.323...... =equation 1

so periodicity is 2

multiply with 100

100x=100(1.323....)

100x=132.3232.. =equation 2

100x=132.3232..
X=- 1.3232..
___________
99x= 131.0000
__________

so ur answer is 131/99

Answer 2

hello dear , ......see ANS- is here .

$let \: x = 1.323(bar \: on \: 23) \\ \\ x = 1.3232323............(1)$
since Two digit is repeating.
we multiple both sides by 100.

$= > 100x = 132.32323..........(2)$
subtract (2) and (1), we get
$= > 100x - x = (132.32323......)- (1.32323.....) \\ = > 99x = 131 \\ = > x = \frac{131}{99}$
Therefore, 1.3232 is in the form of p/q .

Hope it's helps you.
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