(3.) \( \frac{4}{5}-\frac{1}{2} \)

To solve the subtraction of the two fractions \( \frac{4}{5} - \frac{1}{2} \), follow these steps: 1. **Find a Common Denominator:** The denominators of the fractions are 5 and 2. The least common denominator (LCD) is the smallest number that both denominators can divide into without a remainder. - **LCD of 5 and 2:** 10 2. **Convert Each Fraction to Have the LCD as the Denominator:** - For \( \frac{4}{5} \): \[ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \] - For \( \frac{1}{2} \): \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \] 3. **Subtract the Fractions:** Now that both fractions have the same denominator, subtract the numerators: \[ \frac{8}{10} - \frac{5}{10} = \frac{8 - 5}{10} = \frac{3}{10} \] 4. **Simplify if Necessary:** The resulting fraction \( \frac{3}{10} \) is already in its simplest form. **Final Answer:** \[ \frac{4}{5} - \frac{1}{2} = \frac{3}{10} \]