0.32 (bar on 2) express in form of p/q

$Dearstudent,\phantom{\rule{0ex}{0ex}}Q.Represent0.7\overline{32}\phantom{\rule{0ex}{0ex}}Sol.letx=0.7\overline{32}.........\left(i\right)\phantom{\rule{0ex}{0ex}}Multiplyingbothsidesby10.\phantom{\rule{0ex}{0ex}}so10x=7\overline{.32}..........\left(ii\right)\phantom{\rule{0ex}{0ex}}Multiplyingbothsidesby100again.\phantom{\rule{0ex}{0ex}}1000x=732.\overline{32}...........\left(iii\right)\phantom{\rule{0ex}{0ex}}subtracting\left(ii\right)from\left(iii\right),weget;\phantom{\rule{0ex}{0ex}}1000x-10x=732.\overline{32}-7.\overline{32}\phantom{\rule{0ex}{0ex}}990x=725\phantom{\rule{0ex}{0ex}}so,x=\frac{725}{990}\phantom{\rule{0ex}{0ex}}x=\frac{145}{198}\phantom{\rule{0ex}{0ex}}Regards$

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