Question

Reduce the given fractions into the lowest terms.
$\frac{63}{72}$

Answer 1

$\frac{63}{72}$

$63=3\times 3\times 7=3^2\times 7$

$72=2\times 2\times 2\times 3\times 3=2^3\times 3^2$

$gcd(63,72)=3^2=9$

Therefore,

$\frac{63}{72}=\frac{\left(\frac{63}{9}\right)}{\left(\frac{72}{9}\right)}=\frac{7}{8}$

Thus, $\frac{7}{8}$ is the simplified fraction for $\frac{63}{72}$.