# How do you simplify (3sqrt7)/12?

Jun 22, 2018

$\frac{\sqrt{7}}{4}$ (see explanation)

#### Explanation:

You just need to find the common factor of the whole numbers in the numerator and denominator.
In the numerator, we have 3 and 1 as the factors of 3, since 3 multiplied to 1 is equal to 3
.
While the denominator have the factors 4 and 3.
$\frac{3 \cdot 1 \sqrt{7}}{4 \cdot 3}$

As we can observe, both whole numbers had 3 as their common factor. Because of this, the 3 must be cancelled in order to obtain the simplified answer, which is: $\frac{\sqrt{7}}{4}$