Question

Rationalise 3.245 (245 under bar)

Answer 1

${\huge{\pink{\underline{\underline{\purple{\mathbb{\bold{\mathcal{AnSwEr..}}}}}}}}}$

We have to rationalize i.e. convert the number into $\frac{p}{q}$ where p and q are integers and q is not equal to 0.

${\large{\blue{\bold{\underline{So,}}}}}$

▪︎ Let 3.245 bar on 245 be x.

$\implies \: x = 3.245245... \\ \\\implies \:1000x = 3245.245.... \\ \\ \implies1000x - x = 3245.245.. - 3.245.. \\ \\ \implies999x = 3242 \\ \\ \implies \: x = \frac{3242}{999} \\ \\ \implies3.24524... = \frac{3242}{999}$

${\large{\blue{\bold{\underline{Therefore}}}}}$

${\large{\pink{\underline{\underline{\red{\mathbb{\bold{\mathbb{3.245\:=\:3242/999}}}}}}}}}$

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