Activity: 1. \( \frac{a-b}{2}+\frac{3 a-5 b}{2} \) 2. \( \frac{5 x-7 y}{7}+\frac{7 x+2 y}{7} \) 3. \( \frac{5 x-7 y}{3}-\frac{7 x+2 y}{3} \) 4. \( \frac{4 x+y}{3}-\frac{6 x-5 y}{5} \) 5. \( \frac{a^{2}-2}{2}-\frac{3 a^{2}+a-5}{3} \) 6. \( \frac{m^{2}+3 m+3}{4}-\frac{m+5}{3} \) 7. \( \frac{2 x^{2}-5 x+7}{4}+\frac{x^{2}+3 x-4}{2} \) 8. \( \frac{3 y^{2}+7}{3}+\frac{5 y^{2}-12 y+2}{6} \)
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1. \( \frac{a-b}{2}+\frac{3a-5b}{2} \) - Combine the fractions: \( \frac{(a-b) + (3a-5b)}{2} = \frac{4a-6b}{2} \) - Simplify: \( 2a-3b \) 2. \( \frac{5x-7y}{7}+\frac{7x+2y}{7} \) - Combine the fractions: \( \frac{(5x-7y) + (7x+2y)}{7} = \frac{12x-5y}{7} Show more…
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