Solve: 4/5 - 3/10 - 1/5 Multiple Fraction Subtraction

To solve the problem $\frac{4}{5} - \frac{3}{10} - \frac{1}{5}$, we'll perform the following steps:

• Step 1: Find the common denominator of the fractions involved in subtraction.
• Step 2: Convert each fraction to have this common denominator.
• Step 3: Subtract the fractions and simplify the result.

Let's work through each step:

Step 1: Identify a common denominator for the fractions. The denominators are 5, 10, and 5. The least common multiple of these numbers is 10.

Step 2: Convert each fraction to have the common denominator of 10:

• $\frac{4}{5}$ can be rewritten as $\frac{8}{10}$ because multiplying both the numerator and the denominator by 2 gives $\frac{8}{10}$.
• $\frac{3}{10}$ already has the denominator 10, so it remains $\frac{3}{10}$.
• $\frac{1}{5}$ can be rewritten as $\frac{2}{10}$ because multiplying both the numerator and the denominator by 2 gives $\frac{2}{10}$.

Step 3: Subtract the fractions:

$\frac{8}{10} - \frac{3}{10} - \frac{2}{10} = \left(\frac{8 - 3 - 2}{10}\right) = \frac{3}{10}$.

Thus, the result of the subtraction $\frac{4}{5} - \frac{3}{10} - \frac{1}{5}$ is $\frac{3}{10}$.