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.
The expression equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction is
[tex]= \frac{ {8f}^{3} }{3} [/tex]
Given:
StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction
[tex] = \frac{ {4f}^{2} }{3} \div \frac{1}{4f} [/tex]
= 4f² / 3 × 4f / 2
= (4f² × 4f) / (3 × 2)
= 16f³ / 6
= 8f³ / 3
[tex] = \frac{ {8f}^{3} }{3} [/tex]
Therefore, the expression equivalent to StartFraction 4 f squared Over 3 EndFraction divided by StartFraction 1 Over 4 f EndFraction is
[tex] = \frac{ {8f}^{3} }{3} [/tex]
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