Question

what is the value of the expression below?
\frac{1}{3} \times \frac{1}{2} \div \frac{3}{4}
a. \frac{1}{2}
b. \frac{1}{3}
c. \frac{2}{9}
d. \frac{2}{25}

Explanation:

Step1: Rewrite division as multiplication

$\frac{1}{3} \times \frac{1}{2} \times \frac{4}{3}$

Step2: Multiply numerators together

$1 \times 1 \times 4 = 4$

Step3: Multiply denominators together

$3 \times 2 \times 3 = 18$

Step4: Simplify the fraction

$\frac{4}{18} = \frac{2}{9}$

Answer:

C. $\frac{2}{9}$