Question

now, multiply.
\\(\dfrac{\dfrac{2}{3}}{16} = \dfrac{2}{3} \div 16\\)
\\(= \dfrac{2}{3} \cdot \dfrac{1}{16}\\)
\\(= \square\\)

Explanation:

Step1: Recall fraction multiplication rule

To multiply two fractions, we multiply the numerators together and the denominators together. So for $\frac{2}{3} \cdot \frac{1}{16}$, we have:
$$\frac{2 \times 1}{3 \times 16}$$

Step2: Simplify the numerator and denominator

Calculate the numerator: $2\times1 = 2$.
Calculate the denominator: $3\times16 = 48$.
So we get $\frac{2}{48}$. Then simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
$$\frac{2\div2}{48\div2}=\frac{1}{24}$$

Answer:

$\frac{1}{24}$