Solve the Fraction Subtraction: 1/2 - 2/10 Step by Step

To solve this fraction subtraction problem, we'll follow these steps:

• Step 1: Convert $\frac{1}{2}$ to a fraction with denominator $10$.
• Step 2: Subtract $\frac{2}{10}$ from the converted fraction.
• Step 3: Simplify the result, if necessary.

Let's go through each step:

Step 1: Convert $\frac{1}{2}$ into a fraction with a denominator of $10$.
We know that $\frac{1}{2}$ is equivalent to multiplying the numerator and the denominator by $5$:
$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$

Step 2: Subtract $\frac{2}{10}$ from $\frac{5}{10}$.
Subtract by keeping the denominator $10$ and subtract the numerators:
$\frac{5}{10} - \frac{2}{10} = \frac{5-2}{10} = \frac{3}{10}$

Step 3: Simplify the result.
The fraction $\frac{3}{10}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{3}{10}$.