Question

Express the mixed fraction as improper fraction:

$3\frac{2}{5}$

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 $3\frac{2}{5}$ which can be converted into improper fraction using the following steps:

Step $1$: Multiplying $5$ and $3$. We get, $5\times 3=15$.

Step $2$: Adding $2$ to$15$. We obtain, $2+15=17$.

Step $3$: Taking $5$ as the denominator and $17$ as numerator, the required improper fraction is $\frac{17}{5}$.

Therefore, the improper fraction for the mixed fraction $3\frac{2}{5}$ is $\frac{17}{5}$.