# Question #93d85

Feb 11, 2018

The simplified form is $\frac{5}{6}$.

#### Explanation:

To simplify fractions, you can write out factors on the numerator and the denominator and cancel out any that are in common, like this:

$\textcolor{w h i t e}{\ldots .} \frac{10}{12}$

$= \frac{5 \cdot 2}{6 \cdot 2}$

$= \frac{5 \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}{6 \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}$

$= \frac{5}{6}$

$= \frac{5}{2 \cdot 3}$

This is the simplest form since there are no more common factors.

Feb 11, 2018

See below...

#### Explanation:

$10$ and $12$ both are factors of $2$.

$\therefore$ if we divide the top and bottom numbers by $2$ we can simplify the fraction.

$\frac{10}{2} = 5$
$\frac{12}{2} = 6$

$\therefore \frac{10}{12} = \frac{5}{6}$

$5$ and $6$ have no common factors except $1$ would have no effect on simplifying the fraction.

This means $\frac{5}{6}$ is the simplest form.