# How do you simplify -3/4 + 1/3 div-2/5 using PEMDAS?

Mar 9, 2016

No Parentheses, no Exponents, so Division is first.

#### Explanation:

We take the $\frac{1}{3} \div - \frac{2}{5}$ part first.
Dividing by a fraction is multiplying by its inverse:
$\frac{1}{3} \times - \frac{5}{2} = - \frac{5}{6}$

Now the original changes into:
$- \frac{3}{4} - \frac{5}{6}$

For a common denominator:
$- \left(\frac{3}{4} \times \frac{3}{3}\right) - \left(\frac{5}{6} \times \frac{2}{2}\right) = - \frac{9}{12} - \frac{10}{12}$

And this is:
$- \frac{19}{12} = - 1 \frac{7}{12}$