Question

question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
$-dfrac{1}{2} cdot dfrac{10}{9}$

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. So for \(-\frac{1}{2} \cdot \frac{10}{9}\), we have \(\frac{-1\times10}{2\times9}\).

Step2: Simplify the fraction

First, calculate the numerator and denominator: \(-1\times10 = -10\) and \(2\times9 = 18\). So the fraction is \(\frac{-10}{18}\). Then, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \(\frac{-10\div2}{18\div2}=\frac{-5}{9}\).

Answer:

\(-\frac{5}{9}\)