Question

Simplify and reduce to the lowest terms. itle=" \frac{-7}{12} " alt=" \frac{-7}{12} " align="absmiddle" class="latex-formula"> ÷ $\frac{2}{3}$ =

Answer 1

When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

$\frac{-7}{12}$ ÷ $\frac{2}{3}$   Replace the second fraction with it's reciprocal
$\frac{-7}{12}$ x $\frac{3}{2}$   Multiply (-7 x 3 and 12 x 2)
$\frac{-21}{24}$ Both 21 and 24 are divisible by three, so divide them by 3
$\frac{-7}{8}$