# Rational number 12by14 in standard form

$Arationalnumberissaidtobeins\mathrm{tan}dardformwhenitisexpressedintheformof\frac{a}{b},whereb\ne 0andaandbareco-primenumbers.\phantom{\rule{0ex}{0ex}}Now,12and14aren\text{'}tco-primenumbers-theyhaveacommonfactor2.\phantom{\rule{0ex}{0ex}}\therefore \frac{12}{14}=\frac{6\times \overline{)2}}{7\times \overline{)2}}=\frac{6}{7}.\phantom{\rule{0ex}{0ex}}Thus,6and7areco-primenumbers\left(theyhavenocommonfactorotherthan1\right)and7\ne 0.\frac{6}{7}isins\mathrm{tan}dardform.$

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