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Simplify. Express your answer as a single fraction in simplest form. \newline23+q42\frac{2}{3} + \frac{q^4}{2}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline23+q42\frac{2}{3} + \frac{q^4}{2}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 22 and 33. The LCM is 66.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 22 and the second fraction by 33. This gives us 23×22+q42×33\frac{2}{3} \times \frac{2}{2} + \frac{q^4}{2} \times \frac{3}{3}, which simplifies to 46+3q46\frac{4}{6} + \frac{3q^4}{6}.
  3. Simplify expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (4+3q4)/6(4 + 3q^4)/6.

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