8/12-4/35

To subtract the fractions \( \frac{8}{12} \) and \( \frac{4}{35} \), you first need to find a common denominator. 1. Simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \] 2. Find the least common denominator (LCD) of 3 and 35, which is 105. 3. Convert each fraction to have the common denominator: \[ \frac{2}{3} = \frac{2 \times 35}{3 \times 35} = \frac{70}{105} \] \[ \frac{4}{35} = \frac{4 \times 3}{35 \times 3} = \frac{12}{105} \] 4. Now subtract the two fractions: \[ \frac{70}{105} - \frac{12}{105} = \frac{70 - 12}{105} = \frac{58}{105} \] So, \( \frac{8}{12} - \frac{4}{35} = \frac{58}{105} \).