Solve the Fraction Equation: 4/5 - 2/10 - 1/5

We must first identify the lowest common denominator between 5 and 10.

In order to determine the lowest common denominator, we need to find a number that is divisible by both 5 and 10.

In this case, the common denominator is 10.

We will then proceed to multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 2

We'll multiply the second fraction by 1

$\frac{4\times2}{5\times2}-\frac{2\times1}{10\times1}-\frac{1\times2}{5\times2}=\frac{8}{10}-\frac{2}{10}-\frac{2}{10}$

Finally we'll combine and obtain the following:

$\frac{8-2-2}{10}=\frac{6-2}{10}=\frac{4}{10}$