Solve the Fraction Expression: 4/10 + 1/5 - 1/2

To solve the expression $\frac{4}{10} + \frac{1}{5} - \frac{1}{2}$, we will follow these steps:

• Step 1: Find a Common Denominator
  The denominators we have are 10, 5, and 2. The least common denominator (LCD) among these numbers is 10.

• Step 2: Convert Fractions to Equivalent Fractions with the LCD
  - $\frac{4}{10}$ is already using 10 as the denominator.
  - $\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}$.
  - $\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$.

• Step 3: Perform the Arithmetic Operations
  Substitute the converted fractions into the original expression:
  $\frac{4}{10} + \frac{2}{10} - \frac{5}{10}$
  Combine the numerators over the common denominator:
  $\frac{4 + 2 - 5}{10} = \frac{1}{10}$

• Step 4: Simplify the Result
  The fraction $\frac{1}{10}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{1}{10}$.