b. \( \frac{2}{3}-\frac{1}{2}= \)

To solve the subtraction of the two fractions \( \frac{2}{3} - \frac{1}{2} \), follow these steps: 1. **Find a Common Denominator:** The denominators of the fractions are 3 and 2. The least common denominator (LCD) of 3 and 2 is **6**. 2. **Convert Each Fraction to Have the LCD:** - **For \( \frac{2}{3} \):** \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \] - **For \( \frac{1}{2} \):** \[ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \] 3. **Subtract the Numerators:** Now that both fractions have the same denominator, subtract the numerators: \[ \frac{4}{6} - \frac{3}{6} = \frac{4 - 3}{6} = \frac{1}{6} \] 4. **Final Answer:** \[ \frac{2}{3} - \frac{1}{2} = \frac{1}{6} \] So, \( \frac{2}{3} - \frac{1}{2} = \frac{1}{6} \).