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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(2)÷-(5)/(4) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline12÷−54 \frac{1}{2} \div-\frac{5}{4} \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.\newline12÷−54 \frac{1}{2} \div-\frac{5}{4} \newlineAnswer:
  1. Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of −54-\frac{5}{4} is −45-\frac{4}{5}.
  2. Multiply fractions: Multiply the fractions.\newline(12)×(−45)=−410(\frac{1}{2}) \times (\frac{-4}{5}) = \frac{-4}{10}
  3. Reduce to simplest form: Reduce the fraction to its simplest form.\newline−410-\frac{4}{10} can be simplified by dividing both numerator and denominator by 22.\newline−410÷22=−25-\frac{4}{10} \div \frac{2}{2} = -\frac{2}{5}
  4. Check the result: Check the result.\newline−25-\frac{2}{5} is already in its simplest form, and there are no common factors other than 11. Therefore, the fraction is fully reduced.

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