Question

multiply as indicated. reduce to simplest form.$\frac{-1}{4} cdot \frac{-8}{3}$resourcesread itsubmit answer21. - / 1 points 0/100 submissions useddivide as indicated. reduce to simplest form. (enter your answer as a simplified mixed number.)$\frac{3}{4} div \frac{21}{32}$

Explanation:

Step1: Multiply numerators and denominators

$\frac{-1}{4} \cdot \frac{-8}{3} = \frac{(-1) \times (-8)}{4 \times 3} = \frac{8}{12}$

Step2: Simplify the fraction

$\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$

Step3: Rewrite division as multiplication by reciprocal

$\frac{3}{4} \div \frac{21}{32} = \frac{3}{4} \times \frac{32}{21}$

Step4: Multiply and simplify

$\frac{3 \times 32}{4 \times 21} = \frac{96}{84} = \frac{8}{7}$

Step5: Convert to mixed number

$\frac{8}{7} = 1\frac{1}{7}$

Answer:

$\frac{2}{3}$
$1\frac{1}{7}$