Question

Simplify and reduce to a simple fraction:
$\frac{2\frac{1}{5}}{1\frac{1}{10}}$

Answer 1

Converting the mixed fractions into improper fractions

$MixedFraction=\frac{Integralpart\times Denominator+Numerator}{Denominator}$

We will use the above formula to convert the mixed fraction into improper fraction

$\frac{2\frac{1}{5}}{1\frac{1}{10}}=\frac{\frac{2\times 5+1}{5}}{\frac{1\times 10+1}{10}}=\frac{\frac{10+1}{5}}{\frac{10+1}{10}}$

$=\frac{\frac{11}{5}}{\frac{11}{10}}$

$=\frac{11}{5}÷\frac{11}{10}$

Simplifying further by replacing the division sign with multiplication


$\frac{11}{5}÷\frac{11}{10}=\frac{11}{5}\times \frac{10}{11}=2$

Hence the given expression simplifies to $2$.