Solve the Fraction Equation: 8/10 - 1/5 - 2/10

Let's try to identify the lowest common denominator between 10 and 5.

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

In this case, the common denominator is 10.

Let's proceed to multiply each fraction by the appropriate number in order to reach the denominator 10.

We'll multiply the first fraction by 1

We'll multiply the second fraction by 2

We'll multiply the third fraction by 1

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

Finally let's subtract as follows:

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