Subjects algebra

Fraction Addition 5E0535

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1. The problem involves understanding and adding two fractions represented by alien icons. 2. The formula for adding fractions is $$\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$$ where $a$, $b$, $c$, and $d$ are integers. 3. Important rules: fractions must have a common denominator to be added directly. 4. Identify the fractions under the green and purple aliens (assumed as $\frac{1}{2}$ and $\frac{1}{3}$ for explanation). 5. Find the common denominator: $\text{lcm}(2,3) = 6$. 6. Convert fractions: $$\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}$$ 7. Add the fractions: $$\frac{3}{6} + \frac{2}{6} = \frac{3+2}{6} = \frac{5}{6}$$ 8. The final answer is $$\frac{5}{6}$$ which is the sum of the two fractions.