Question

Reduce the given fractions into the lowest terms.
$\frac{27}{51}$

Answer 1

$\frac{27}{51}$

$27=3\times 3\times 3=3^3$

$51=3\times 17$

$gcd(27,51)=3$

Therefore,

$\frac{27}{51}=\frac{\left(\frac{27}{3}\right)}{\left(\frac{51}{3}\right)}=\frac{9}{17}$

Thus, $\frac{9}{17}$ is the simplified fraction for $\frac{27}{51}$.