Question

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

Explanation:

Step1: Recall fraction multiplication rule

To multiply a fraction by an integer, we can write the integer as a fraction with denominator 1. So, \(4=\frac{4}{1}\). Then, the multiplication becomes \(-\frac{2}{3}\times\frac{4}{1}\).

Step2: Multiply numerators and denominators

When multiplying fractions, we multiply the numerators together and the denominators together. So, \(\frac{-2\times4}{3\times1}=\frac{-8}{3}\). Since \(-8\) and \(3\) have no common factors other than \(1\), the fraction is already in simplest form.

Answer:

\(-\frac{8}{3}\)