# How do you simplify 1/2 * 2/3 + 1/4 / 1/5?

May 11, 2018

$\frac{19}{12}$

#### Explanation:

DMAS rule is whenever you find equation in which you have to add,subtract,divide, multiply
Then
First of all
D=divide
M=Multiply
S=subtract

So $\frac{1}{2} \cdot \frac{2}{3} + \frac{1}{4} / \frac{1}{5}$

First divide $\frac{1}{4} / \frac{1}{5}$
That is $\frac{5}{4}$
So it will be $\frac{1}{2} \cdot \frac{2}{3} + \frac{5}{4}$

Then multiply $\frac{1}{2} \cdot \frac{2}{3}$
That is $\frac{1}{3}$

It will be
$\frac{1}{3} + \frac{5}{4}$

It will be $\frac{4 + 15}{12}$
That is $\frac{19}{12}$