Which number is equivalent to (3,300)/(32)? (A) (32)/(103) (B) (825)/(32) (C) 103(1)/(8) (D) 206(1)/(4)

Divide by 32: Divide 3,300 by 32 to simplify the fraction. 3,300 ÷ 32 = 103.125Convert 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 1/8, so 103.125 is equivalent to 103 1/8.Compare with choices: Compare the result with the given answer choices. (A) (32)/(103) is not equivalent to 103 1/8. (B) (825)/(32) is not equivalent to 103 1/8. (C) 103(1)/(8) is equivalent to 103 1/8. (D) 206(1)/(4) is not equivalent to 103 1/8.

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Which number is equivalent to (3,300)/(32)?
(A) (32)/(103)
(B) (825)/(32)
(C) 103(1)/(8)
(D) 206(1)/(4)

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

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Math Problems

Algebra 2

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

(C)

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 $103 \frac{1}{8}$ .