Multiply the fractions

$-\frac{3}{32}$

Explanation

We will use the rule for multiplying two fractions that have different (unlike) signs.  One fraction is positive and one is negative.

• Multiply the numerators.  Multiply the denominators.  Make sure to add the negative sign since fractions have unlike signs.
  • \( -\frac34 \left( \frac18 \right) = - \frac{3 \cdot 1}{4 \cdot 8}\) 
• Since 3 and 32 have no common factors other than 1, the result is in simplest form.
  • \(= - \frac{3}{32}\)