Question

Reduce the given fractions into the lowest terms.
$\frac{95}{100}$

Answer 1

$\frac{95}{100}$

$95=5\times 19$

$100=2\times 2\times 5\times 5$

$gcd(95,100)=5$

Therefore,

$\frac{95}{100}=\frac{\left(\frac{95}{5}\right)}{\left(\frac{100}{5}\right)}=\frac{19}{20}$

Thus, $\frac{19}{20}$ is the simplified fraction for $\frac{95}{100}$.