# Fractional Equations

In this video, we are going to solve fractional equations, such as $\frac{4}{x} + \frac{2}{6} = \frac{5}{x}$, by using the least common denominator.

For example: $\frac{4}{x}+\frac{2}{6}=\frac{5}{x}$, find the value of x

First, find the least common denominator, which is 6x. Multiple every numerator by 6x
$\frac{(6x)4}{x}+\frac{(6x)2}{6}=\frac{(6x)5}{x}$

The x and 6 cancel out with the denominator, leaving us with
$(6)4+(x)2=(6)5$
$24+2x=30$

Now, let’s solve it like any other equations. Subtract 24 from both sides.
$2x=6$

Isolate the x and we have
$x=3$

• ## Want full access to all of our free math tutorials & practice problems?

Used by students across the country. Pre-Algebra, Algebra I, Geometry, & Algebra II