Question

question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
\\(dfrac{-dfrac{5}{2}}{dfrac{3}{5}}\\)

Explanation:

Step1: Recall dividing fractions rule

Dividing by a fraction is multiplying by its reciprocal. So \(\frac{-\frac{5}{2}}{\frac{3}{5}} = -\frac{5}{2} \times \frac{5}{3}\)

Step2: Multiply numerators and denominators

Multiply the numerators: \(5\times5 = 25\), multiply the denominators: \(2\times3 = 6\). So we get \(-\frac{25}{6}\)

Answer:

\(-\frac{25}{6}\)