Question

Which fraction is smaller?
$\frac{7}{26}$ or $\frac{10}{39}$.

Answer 1

$tofindwhichonesmaller\frac{7}{26}or\frac{10}{39}\Rightarrow \frac{7}{26}=\frac{7}{26}\times \frac{39}{39}=\frac{7\times 39}{26\times 39}=\frac{273}{26\times 39}\Rightarrow \frac{10}{39}=\frac{10}{39}\times \frac{26}{26}=\frac{10}{39}\times \frac{26}{26}=\frac{260}{39\times 26}\left(Ifoneofthem,numeratorwillbesmallso,fractionalsowillbesmall\right)itsmean,\Rightarrow \frac{273}{26\times 39}>\frac{260}{39\times 26}\Rightarrow \frac{260}{39\times 26}<\frac{273}{26\times 39}\left[\because Wecanwritetoo\right]\therefore \frac{10}{39}<\frac{7}{26}$