1. **State the problem:** Simplify the expressions given:
a) $\frac{25}{12}$
b) $\frac{2}{7} + \frac{4}{7}$
c) $\frac{7}{8} - \frac{3}{8}$
2. **Recall the rules:**
- When adding or subtracting fractions with the same denominator, add or subtract the numerators and keep the denominator the same.
- Simplify fractions by dividing numerator and denominator by their greatest common divisor (GCD).
3. **Solve part a:**
The fraction $\frac{25}{12}$ is already in simplest form because 25 and 12 have no common factors other than 1.
4. **Solve part b:**
Since denominators are the same (7), add numerators:
$$\frac{2}{7} + \frac{4}{7} = \frac{2+4}{7} = \frac{6}{7}$$
$\frac{6}{7}$ is already simplified.
5. **Solve part c:**
Since denominators are the same (8), subtract numerators:
$$\frac{7}{8} - \frac{3}{8} = \frac{7-3}{8} = \frac{4}{8}$$
Simplify $\frac{4}{8}$ by dividing numerator and denominator by 4:
$$\frac{\cancel{4}}{\cancel{8}} = \frac{1}{2}$$
6. **Final answers:**
a) $\frac{25}{12}$
b) $\frac{6}{7}$
c) $\frac{1}{2}$
Fraction Operations C48508
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