which expression is equivalent to $\frac{4f^{2}}{3}div\frac{1}{4f}$?\n$\frac{16f^{3}}{3}$\n$\frac{f}{3}$\n$\f…
which expression is equivalent to $\frac{4f^{2}}{3}div\frac{1}{4f}$?\n$\frac{16f^{3}}{3}$\n$\frac{f}{3}$\n$\frac{3}{16f^{3}}$\n$\frac{3}{f}$
Answer
Explanation:
Step1: Recall division - to - multiplication rule
Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{4f^{2}}{3}\div\frac{1}{4f}=\frac{4f^{2}}{3}\times\frac{4f}{1}$.
Step2: Multiply the numerators and denominators
Multiply the numerators $4f^{2}\times4f = 16f^{3}$ and the denominators $3\times1 = 3$. So the result is $\frac{16f^{3}}{3}$.
Answer:
$\frac{16f^{3}}{3}$