Question

svlc algebra 1a - essentials (15997)
dividing fractions
what is the quotient?
$-\frac{4}{5} \div 2$
options: $1\frac{3}{5}$, $-1\frac{3}{5}$, $\frac{1}{2}$, $-\frac{2}{5}$

Explanation:

Step1: Rewrite integer as fraction

$2 = \frac{2}{1}$

Step2: Flip divisor, change to multiplication

$-\frac{4}{5} \div \frac{2}{1} = -\frac{4}{5} \times \frac{1}{2}$

Step3: Multiply numerators and denominators

$-\frac{4 \times 1}{5 \times 2} = -\frac{4}{10}$

Step4: Simplify the fraction

$-\frac{4}{10} = -\frac{2}{5}$

Answer:

$-\frac{2}{5}$