Question

Divide $2\frac{4}{9}$ by $44$?

Answer 1

Dividing two fractions:

Dividing two fractions is equal to the multiplication of a fraction by the reciprocal of another fraction.

A fraction $\frac{a}{b}$ which is divided by $\frac{c}{d}$. Then we can solve the division as $\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

Given,

Divide $2\frac{4}{9}$ by $44$

It can be written as

$2\frac{4}{9}÷\frac{44}{1}$

Step:$1$

Here we have a mixed fraction convert into an improper fraction.

$$\begin{gathered} 2\frac{4}{9}÷\frac{44}{1}=\left(\frac{2\times 9+4}{9}\right)÷\frac{44}{1} \\ =\left(\frac{18+4}{9}\right)÷\frac{44}{1} \\ =\frac{22}{9}÷\frac{44}{1} \end{gathered}$$

Step:$2$

Now we can divide two fractions.

$$\begin{gathered} \frac{22}{9}÷\frac{44}{1}=\frac{22}{9}\times \frac{1}{44}\left(\therefore \frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\right) \\ =\frac{22}{44}\times \frac{1}{9} \\ =\frac{1}{2}\times \frac{1}{9} \\ \frac{22}{9}÷\frac{44}{1}=\frac{1}{18} \end{gathered}$$

Therefore,

$2\frac{4}{9}÷\frac{44}{1}$$=\frac{1}{18}$