Question

Express the mixed fraction as improper fraction:

$4\frac{1}{9}$

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 $4\frac{1}{9}$ which can be converted into improper fraction using the following steps:

Step $1$: Multiplying $9$ and $4$. We get, $9\times 4=36$.

Step $2$: Adding $1$ to $36$. We obtain, $1+36=37$.

Step $3$: Taking $9$ as the denominator and $37$ as numerator, the required improper fraction is $\frac{37}{9}$.

Therefore, the improper fraction for the mixed fraction $4\frac{1}{9}$ is $\frac{37}{9}$.