# What is 4/5 -: 6 2/3?

Apr 4, 2016

$= \frac{3}{25}$ or $0.12$ (if the answer is asked to be in decimal form)

#### Explanation:

Before answering this type of question you have to change mixed numbers into improper fractions.

4/5 ÷ (6 * 3 + 2)/3 = 20/3

Then you apply KOF (Keep, Opposite, Flip)
You Keep the $\frac{4}{5}$, you put the Opposite sign of division, and you Flip the $\frac{20}{3}$

So, you get this:

$\frac{4}{5} \times \frac{3}{20} = \frac{4 \cdot 3}{5 \cdot 20} = \frac{12}{100}$

Then simplify the fraction by dividing by $4$, as $12$ is $3 \times 4$ and $100$ is $25 \times 4$; they have a common factor.

$\frac{12}{100} = \frac{3}{25}$, or $0.12$