Question

Which is greater $\frac{1}{2}$ or $\frac{13}{27}$

Answer 1

First, we make their denominators equal to their LCM

LCM$(2,27)=54$

So $\frac{1\times 27}{2\times 27}=\frac{27}{54}$and $\frac{13\times 2}{27\times 2}=\frac{26}{54}$

$27>26$ so $\frac{27}{54}>\frac{26}{54}$

Hence $\frac{1}{2}>\frac{13}{27}$ .