Question

multiply. write the product in simplest form
$-\frac{4}{7} cdot \frac{2}{11}$
$-\frac{4}{7} cdot \frac{2}{11} = \square$ (type an integer or a simplified fraction )

Explanation:

Step1: Multiply numerators

To multiply two fractions, we first multiply the numerators. Here, the numerators are \( -4 \) and \( 2 \), so \( -4 \times 2 = -8 \).

Step2: Multiply denominators

Next, we multiply the denominators. The denominators are \( 7 \) and \( 11 \), so \( 7 \times 11 = 77 \).

Step3: Form the product

The product of the two fractions is the result of the numerator product over the denominator product, so \( -\frac{4}{7} \cdot \frac{2}{11} = \frac{-8}{77} \), which can be written as \( -\frac{8}{77} \) since the negative sign can be placed in the numerator or the front of the fraction.

Answer:

\( -\frac{8}{77} \)