# Question #a9a67

Oct 9, 2017

$79 \div 4.5 = \textcolor{b l u e}{17.555 \overline{5}}$

#### Explanation:

While this can be done directly, it is probably easier to first multiply both the dividend and the division by $2$ to avoid the fractional component.

$79 \div 4.5$
$\textcolor{w h i t e}{\text{XXX}} = \left(79 \times 2\right) \div \left(4.5 \times 2\right)$

$\textcolor{w h i t e}{\text{XXX}} = 158 \div 9$

(then either by inspection or long division)
$\textcolor{w h i t e}{\text{XXX}} = 17 \frac{5}{9}$

...or as a repeating decimal
$\textcolor{w h i t e}{\text{XXX}} = 17.55 \overline{5}$