Question

Divide.
Write your answer in simplest form.


\[ -\dfrac{8}{3} \div \dfrac{1}{4} = {?} \]

Answer 1

wrong. correct answer is -32/3

Answer 2

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of $\frac{1}{4}$ is $\frac{4}{1}$, so we have: \begin{align*}
-\dfrac{8}{3} \div \dfrac{1}{4} &= -\dfrac{8}{3} \cdot \dfrac{4}{1}\\
&= -\dfrac{8 \cdot 4}{3 \cdot 1}\\
&= -\dfrac{32}{3}\\
\end{align*} So, $-\dfrac{8}{3} \div \dfrac{1}{4} = -\dfrac{32}{3}$.

Answer 3

Apologies for the mistake. You are correct. The correct answer is $\frac{-32}{3}$.