# How do you simplify 2/5 times 2/3 +1/5 div 2/3?

Jan 7, 2016

$\frac{17}{30}$

#### Explanation:

using PEDMAS we can reduce this question to DMAS as there is no parenthesis or exponents.
Division and Multiplication have equal precedence so we must calculate the multiplication and division before adding the corresponding answers.

$\Rightarrow \frac{2}{5} \times \frac{2}{3} + \frac{1}{5} \times \frac{3}{2} = \frac{4}{15} + \frac{3}{10}$

$\Rightarrow \frac{4}{15} + \frac{3}{10} = \frac{8}{30} + \frac{9}{30} = \frac{17}{30}$

Aug 25, 2016

$\frac{17}{30}$

#### Explanation:

Always count the number of terms. Simplify each term to a single answer. Do brackets first.
Power and roots are the strongest operations, then come multiplication and division, and last addition and subtraction.

There are 2 terms.
$\textcolor{b l u e}{\frac{2}{5} \times \frac{2}{3}} + \textcolor{red}{\frac{1}{5} \div \frac{2}{3}}$

=$\textcolor{b l u e}{\frac{4}{15}} + \textcolor{red}{\frac{1}{5} \times \frac{3}{2}}$

=$\textcolor{b l u e}{\frac{4}{15}} + \textcolor{red}{\frac{3}{10}}$

=$\frac{8 + 9}{30}$

=$\frac{17}{30}$