Solve the Fraction Expression: 3/5 - 1/10 - 1/5 Step by Step

Let's try to find the least common denominator between 5 and 10

To find the least common denominator, we need to find a number that is divisible by both 5 and 10

In this case, the common denominator is 10

Now we'll 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

We'll multiply the third fraction by 2

$\frac{3\times2}{5\times2}-\frac{1\times1}{10\times1}-\frac{1\times2}{5\times2}=\frac{6}{10}-\frac{1}{10}-\frac{2}{10}$

Now let's subtract:

$\frac{6-1-2}{10}=\frac{5-2}{10}=\frac{3}{10}$