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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

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