Question

express 0.003232323232...... in the form of p/q where q is not equal to 0and p and q are integers

Answer 1

Hey ^^"

For any two digit repetition such as :

$0. \bar{ xy} = 0.xyxyxyxyxy... = \frac{xy}{99}$

Hence,

$0.323232... = \frac{32}{99}$

$= > 0.00323232... = \frac{32}{9900} = \frac{8}{2475}$

Answer 2

0.003232323232...... Is 0.0032 bar


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Let x = 0.0032 bar [bar on 32 only]

Multiply by 100 on both sides,

100 × x = 100 × 0.0032 bar

=> 100x = 0.32 bar

As there are 2 numbers under bar, multiply by 100 on both sides

=> 100 × 100x = 100× 0.32 bar

=> 10000x = 32.32 bar

Subtract 100x from both sides,

10000x = 32.32 bar
-100x = -0.32 bar
________________
9900 x = 32 [bar cancel]
_____________

x = 32/9900

Then,

0.003232323232..... In p/q form is 32/9900



I hope this will help you

-by ABHAY