# How do you simplify (-7)(1/14)(-11)?

May 6, 2017

Multiply the numerators and then multiply the denominators.

#### Explanation:

Although it is not written, the denominator of $- 7$ and $- 11$ is $1$.
So it looks like this:
$\left(- \frac{7}{1}\right) \left(\frac{1}{14}\right) \left(- \frac{11}{1}\right)$

Then you have to multiply the numerators and the denominators.
Like this:
$\frac{- 7 \cdot 1 \cdot - 11}{1 \cdot 14 \cdot 1}$

Once you multiply them you will get:
$\frac{77}{14}$

But, this is not your final answer. It can be simplified because 77 and 14 are both multiples of 7.
So the simplified improper fraction is:
$\frac{11}{2}$
As a mixed fraction, it would look like:
$5$$\frac{1}{2}$
As a decimal, it would look like:
$5.5$

Hope this helps :)

May 6, 2017

$\frac{11}{2} = 5 \frac{1}{2}$

#### Explanation:

The expression can be written as:

$\frac{- 7}{1} \times \frac{1}{14} \times \frac{- 11}{1} \text{ } \leftarrow$ the sign will be positive

Cancel any like factors in the numerator and denominator.
This makes the numbers smaller and easier to simplify.

$\frac{\cancel{7}}{1} \times \frac{1}{\cancel{14}} _ 2 \times \frac{11}{1}$

Now multiply straight across:

$= \frac{11}{2}$

$= 5 \frac{1}{2}$

$= 5.5$