Solve the Fraction Subtraction: 3/5 minus 5/10

To solve this problem, we'll follow a step-by-step approach:

• Step 1: Convert both fractions to have the same denominator.
  - The original fractions are $\frac{3}{5}$ and $\frac{5}{10}$.
  - Convert $\frac{3}{5}$ to a fraction with denominator 10. Multiply both numerator and denominator by 2:
  $\frac{3}{5} \times \frac{2}{2} = \frac{6}{10}$.

• Step 2: Subtract the fractions now that they have a common denominator.
  - The fractions to subtract are $\frac{6}{10} - \frac{5}{10}$.

• Step 3: Perform the subtraction by subtracting numerators.
  - $\frac{6}{10} - \frac{5}{10} = \frac{6-5}{10} = \frac{1}{10}$.

• Step 4: Verify if simplification is necessary.
  - The fraction $\frac{1}{10}$ is already in its simplest form.

Therefore, the solution to $\frac{3}{5}-\frac{5}{10}$ is $\frac{1}{10}$.