Express the following in the form frac{p}{q}, | vedclass

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Question

Let $x=0.00323232 \ldots=0.00 \overline{32}....(1)$

$100 x=0 . \overline{32}....(2)$

$10,000 x=32 . \overline{32}....(3)$

Subtracting $(2)$ f

Vedclass · Accepted Answer

$\frac{8}{2475}$

Vedclass · Answer

Let $x=0.00323232 \ldots=0.00 \overline{32}....(1)$

$100 x=0 . \overline{32}....(2)$

$10,000 x=32 . \overline{32}....(3)$

Subtracting $(2)$ from $(3),$ we get

$9900 x=32$

$	herefore \quad x=\frac{32}{9900}=\frac{8}{2475}$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :

$0.00323232 \ldots$

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ : $0.00323232 \ldots$