# What is 15.36 divided by 4.8?

Mar 22, 2018

$15.36 \div 4.8 = 3.2$

#### Explanation:

$15.36 \div 4.8$

= $\frac{1536}{100} \times \frac{10}{48}$

= $\frac{{\cancel{1536}}^{384}}{{\cancel{100}}^{10}} \times \frac{\cancel{10}}{{\cancel{48}}^{12}}$ - dividing by $4$ and $10$ respectively

= $\frac{384}{10} \times \frac{1}{12}$

= $\frac{{\cancel{384}}^{32}}{10} \times \frac{1}{\cancel{12}}$

= $\frac{32}{10}$

= $3.2$

We can also long divide as follows:

$4.8 | \overline{15.36 \textcolor{w h i t e}{X X X X X X}} | 3.2$
$\textcolor{w h i t e}{X X} \underline{144} \downarrow$
$\textcolor{w h i t e}{x X x X} 96$
$\textcolor{w h i t e}{X X \times} \underline{96}$
$\textcolor{w h i t e}{X X \times} \underline{00}$

Note that as divisor has one place after decimal and dividend two places after decimal, then quotient will have $2 - 1 = 1$ place after decimal.