Subjects algebra

Fraction Operations C48508

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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) $\frac{1}{2}$