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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -(5)/(2)*(8)/(9) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline−52⋅89 -\frac{5}{2} \cdot \frac{8}{9} \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.\newline−52⋅89 -\frac{5}{2} \cdot \frac{8}{9} \newlineAnswer:
  1. Multiply Numerators: Multiply the numerators of the two fractions.\newlineWe have the numerators 55 and 88. Multiplying them gives us 5×8=405 \times 8 = 40.
  2. Multiply Denominators: Multiply the denominators of the two fractions.\newlineWe have the denominators 22 and 99. Multiplying them gives us 2×9=182 \times 9 = 18.
  3. Combine Results: Combine the results of steps 11 and 22 to form a new fraction. The new fraction is 4018\frac{40}{18}. However, we must remember to include the negative sign from the original problem, so the fraction becomes −4018-\frac{40}{18}.
  4. Reduce to Simplest Form: Reduce the fraction to its simplest form. Both the numerator and the denominator are divisible by 22. Dividing both by 22 gives us −209-\frac{20}{9}.

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