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Let’s check out your problem:

Which number is equivalent to
(3,300)/(32)?
(A)
(32)/(103)
(B)
(825)/(32)

103(1)/(8)
(D)
206(1)/(4)

Which number is equivalent to $\frac{3,300}{32} ?$ $\newline$ (A) $\frac{32}{103}$ $\newline$ (B) $\frac{825}{32}$ $\newline$ $103 \frac{1}{8}$ $\newline$ (D) $206 \frac{1}{4}$

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Multiplication with rational exponents

Full solution

Q. Which number is equivalent to

\frac{3,300}{32} ?

\newline

(A)

\frac{32}{103}

\newline

(B)

\frac{825}{32}

\newline

103 \frac{1}{8}

\newline

(D)

206 \frac{1}{4}

Divide by $32$ : Divide $3,300$ by $32$ to simplify the fraction. $\newline$ $3,300 \div 32 = 103.125$
Convert to fraction: Convert the decimal to a fraction to see if it matches any of the answer choices. $103.125$ is the same as $103 + 0.125$ , which can be written as a mixed number. $0.125$ as a fraction is $\frac{1}{8}$ , so $103.125$ is equivalent to $103 \frac{1}{8}$ .
Compare with choices: Compare the result with the given answer choices. $\newline$ (A) $(32)/(103)$ is not equivalent to $103 \frac{1}{8}$ . $\newline$ (B) $(825)/(32)$ is not equivalent to $103 \frac{1}{8}$ . $\newline$ (C) $103\frac{1}{8}$ is equivalent to $103 \frac{1}{8}$ . $\newline$ (D) $206\frac{1}{4}$ is not equivalent to $103 \frac{1}{8}$ .

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