Question

Express the mixed fraction as improper fraction:

$5\frac{3}{11}$

Answer 1

A mixed fraction can be converted into an improper fraction by adopting the following procedure:

Step $1$: Take the denominator of the mixed fraction and multiply it with the whole number of the mixed fraction.

Step $2$: Add the numerator to the product obtained in Step $1$ .

Step $3$: Keeping the denominator fixed, take the sum obtained in Step $2$ as the numerator of the resultant fraction, which gives the required improper fraction. The result of all these steps can be also summed up as:

$\frac{(denominator\times wholenumber)+numerator}{denominator}$

Here, the given mixed fraction is $5\frac{3}{11}$ which can be converted into improper fraction using the following steps:

Multiplying $11$ and $5$. We get, $11\times 5=55$.

Adding $3$ to $55$. We obtain, $3+55=58$.

Taking $11$as the denominator and $58$ as numerator, the required improper fraction is $\frac{58}{11}$.

Therefore, the improper fraction for the mixed fraction $5\frac{3}{11}$ is $\frac{58}{11}$.