Question

Which expression is equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction?

Answer 1

To find the equivalent expression, multiply the numerator by the reciprocal of the denominator.

Step-by-step explanation:

To find an expression equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction, we can simplify the division by multiplying the numerator by the reciprocal of the denominator. The reciprocal of StartFraction 1 Over 4 f EndFraction is 4f. Therefore, the expression becomes StartFraction 4 f squared Over 3 EndFraction × 4f.

We simplify the expression by multiplying the numerators and multiplying the denominators.

The expression simplifies to StartFraction 16 f cubed Over 3 EndFraction.

Answer 2

Lets use algebra and simplify:

\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=\frac{16f^{3}}{3}

Note in the above steps: dividing by a fraction is same as multiplying by its reciprocal

The first answer choice is the correct one.