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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. ((5)/(2))/(-3) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline52−3 \frac{\frac{5}{2}}{-3} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline52−3 \frac{\frac{5}{2}}{-3} \newlineAnswer:
  1. Understand the expression: Understand the given expression.\newlineWe are given the expression 52−3\frac{\frac{5}{2}}{-3}, which is a fraction divided by a negative number.
  2. Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal.\newlineDividing by a number is the same as multiplying by its reciprocal. The reciprocal of −3-3 is −13-\frac{1}{3}.\newlineSo, 52\frac{5}{2}/−3-3 is the same as 52\frac{5}{2} * −13-\frac{1}{3}.
  3. Perform the multiplication: Perform the multiplication.\newlineNow, multiply the numerators and the denominators separately.\newline(5×−1)/(2×3)=−5/6(5 \times -1) / (2 \times 3) = -5 / 6.
  4. Check for simplification: Check if the fraction can be simplified further.\newlineThe fraction −56-\frac{5}{6} cannot be simplified further because 55 and 66 have no common factors other than 11.

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