Question

Divide $9÷4\frac{1}{2}$ to unlock the card and save Neptune.

• A. 2
• B. $\frac{1}{2}$
• C. 3

Answer 1

The correct option is A 2

$4\frac{1}{2}$ is a mixed fraction.
For simplification, convert mixed fraction into improper fraction.
$4\frac{1}{2}=\frac{4\times 2+1}{2}=\frac{9}{2}$
So, now we have do divide: $9÷\frac{9}{2}$
We can write 9 as $\frac{9}{1}$
$9÷\frac{9}{2}=\frac{9}{1}÷\frac{9}{2}$

Take a reciprocal of the second fraction and multiply with the first fraction as follows

$\frac{9}{1}÷\frac{9}{2}=\frac{9}{1}\times \frac{2}{9}$

$=\frac{9\times 2}{1\times 9}$

$=\frac{2}{1}$

$=2$

Hence, $9÷4\frac{1}{2}=2$