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Simplify. Express your answer as a single fraction in simplest form. 32−5p33 \frac{3}{2} - \frac{5p^3}{3} ______

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. 32−5p33 \frac{3}{2} - \frac{5p^3}{3} ______
  1. Rewrite as Common Fraction: Step 11: Rewrite 32\frac{3}{2} as a fraction with a common denominator with 5p33\frac{5p^3}{3}. \newline32−5p33\frac{3}{2} - \frac{5p^3}{3}\newline=3×32×3−5p33=\frac{3\times 3}{2\times 3} - \frac{5p^3}{3}\newline=96−5p33=\frac{9}{6} - \frac{5p^3}{3}
  2. Combine Fractions with Common Denominator: Step 22: Combine the fractions over a common denominator.\newline=(96)−(5p33)=(\frac{9}{6}) - (\frac{5p^3}{3})\newline=(9×26×2)−(5p3×23×2)=(\frac{9\times 2}{6\times 2}) - (\frac{5p^3\times 2}{3\times 2})\newline=(1812)−(10p36)=(\frac{18}{12}) - (\frac{10p^3}{6})

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