# How do you simplify 1.5 div 1/3?

Aug 22, 2016

#### Answer:

$= 4.5$

#### Explanation:

$1.5 \div \frac{1}{3}$

$= 1.5 \times 3$

$= 4.5$

Aug 24, 2016

#### Answer:

$\frac{9}{2} = 4 \frac{1}{2} = 4.5$

#### Explanation:

It is generally not good practice to mix decimals and fractions,
Use one format.

Fractions are often better because the values are exact and therefore more accurate than decimals which often recur and have to be rounded off.

We can write $\textcolor{red}{1.5} \textcolor{b l u e}{\div \frac{1}{3}}$ as

$\textcolor{red}{1 \frac{1}{2}} \textcolor{b l u e}{\times \frac{3}{1}} \text{ change } \div \frac{1}{3} \rightarrow \times \frac{3}{1}$

=$\textcolor{red}{\frac{3}{2}} \times \frac{3}{1} \text{ } \left(1 \frac{1}{2} = \frac{3}{2}\right)$

=$\frac{9}{2} = 4 \frac{1}{2} = 4.5$

Choose any format for the answer.