Question

find the product.
$-\frac{1}{8} \cdot \frac{2}{3}$
enter the correct answer in the box.

Explanation:

Step1: Multiply numerators and denominators

To find the product of two fractions, we multiply the numerators together and the denominators together. For \(-\frac{1}{8} \cdot \frac{2}{3}\), the numerators are \(-1\) and \(2\), and the denominators are \(8\) and \(3\). So we calculate \((-1) \times 2 = -2\) and \(8 \times 3 = 24\), giving us \(\frac{-2}{24}\).

Step2: Simplify the fraction

We can simplify \(\frac{-2}{24}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\). Dividing \(-2\) by \(2\) gives \(-1\), and dividing \(24\) by \(2\) gives \(12\). So the simplified fraction is \(-\frac{1}{12}\).

Answer:

\(-\frac{1}{12}\)