Question

multiply. write your answer as a fraction in simplest form. \\( 3 \times \dfrac{8}{9} \times \dfrac{4}{11} \\)

Explanation:

Step1: Multiply 3 and 8/9

First, multiply the whole number 3 with the fraction $\frac{8}{9}$. We can write 3 as $\frac{3}{1}$, so $\frac{3}{1} \times \frac{8}{9} = \frac{3\times8}{1\times9} = \frac{24}{9}$. Then simplify $\frac{24}{9}$ by dividing numerator and denominator by their greatest common divisor, which is 3. So $\frac{24\div3}{9\div3} = \frac{8}{3}$.

Step2: Multiply the result with 4/11

Now multiply $\frac{8}{3}$ with $\frac{4}{11}$. Using the rule for multiplying fractions $\frac{a}{b} \times \frac{c}{d} = \frac{a\times c}{b\times d}$, we get $\frac{8\times4}{3\times11} = \frac{32}{33}$.

Answer:

$\frac{32}{33}$