# Question #6698e

Oct 12, 2017

$- \frac{17}{5}$ or $- 3 \frac{2}{5}$

#### Explanation:

First off, adding a negative number is the same as subtracting a number.

So your problem simplifies to $- 1 \textcolor{red}{-} 2 \frac{2}{5}$

Now make both sides fractions, and not mixed ones.

$- \frac{1}{1} - \frac{\left(2 \times 5\right) + 2}{5}$

$= - \frac{1}{1} - \frac{12}{5}$

Next, make the denominators the same (this will have to be 5)

$- \frac{5}{5} - \frac{12}{5}$

Now subtract the top line:

$- \frac{17}{5}$

If you want to make it a mixed fraction, see how many times the denominator fits in to the numerator ($17 \div 5 = 3$-and-a-bit)
$3 \times 5 = 15$ so you have $\frac{2}{5}$ left over, $\therefore$ your mixed fraction is $- 3 \frac{2}{5}$