Question

question
perform the operation and reduce the answer fully. make sure to express your answer as a simplified fraction.
(-\frac{3}{4} cdot \frac{2}{5})

Explanation:

Step1: Multiply the numerators

To multiply two fractions, we first multiply the numerators. So, for \(-\frac{3}{4} \cdot \frac{2}{5}\), we multiply \(3\) (from the first numerator, considering the negative sign) and \(2\) (from the second numerator). That gives us \(-3 \times 2 = -6\).

Step2: Multiply the denominators

Next, we multiply the denominators. The denominators are \(4\) and \(5\), so \(4 \times 5 = 20\).

Step3: Simplify the fraction

Now we have the fraction \(\frac{-6}{20}\). We can simplify this by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\). So, \(\frac{-6 \div 2}{20 \div 2} = \frac{-3}{10}\).

Answer:

\(-\frac{3}{10}\)