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Simplify. Express your answer as a single fraction in simplest form. \newline52−3a32\frac{5}{2} - \frac{3a^3}{2}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline52−3a32\frac{5}{2} - \frac{3a^3}{2}
  1. Identify Common Denominator: Identify the common denominator for the fractions 52\frac{5}{2} and 3a32\frac{3a^3}{2}. Since both fractions already have the same denominator, which is 22, there is no need to find a least common multiple (LCM). The common denominator is 22.
  2. Subtract Numerators: Since the denominators are the same, subtract the numerators directly. This gives us (5−3a3)/2(5 - 3a^3)/2.
  3. Final Simplified Expression: There is no further simplification possible for the numerator as 55 and 3a33a^3 are not like terms. Therefore, the final simplified expression is (5−3a3)/2(5 - 3a^3)/2.

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