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Susan can read 72 words in [tex]\(\frac{1}{3}\)[/tex] of a minute. Which statement is correct?

A. She can read 24 words per minute, because 72 divided by [tex]\(\frac{1}{3}\)[/tex] is equal to 24.
B. She can read 24 words per minute, because 72 times [tex]\(\frac{1}{3}\)[/tex] is equal to 24.
C. She can read 216 words per minute, because 72 divided by [tex]\(\frac{1}{3}\)[/tex] is equal to 216.
D. She can read 216 words per minute, because 72 times [tex]\(\frac{1}{3}\)[/tex] is equal to 216.


Sagot :

Let's analyze the information and calculate the correct statement step by step.

Susan can read 72 words in [tex]\(\frac{1}{3}\)[/tex] of a minute. We need to determine how many words she can read in one full minute.

1. Identify the fraction of the minute:
- Given: Susan reads 72 words in [tex]\(\frac{1}{3}\)[/tex] of a minute.

2. Calculate the words per minute (words/minute):
- To find the words per minute, we need to determine how many times [tex]\(\frac{1}{3}\)[/tex] fits into 1 minute. In other words, we need to divide the number of words (72) by the time fraction ([tex]\(\frac{1}{3}\)[/tex]).

So, we perform the division:
[tex]\[ \text{words per minute} = \frac{72}{\frac{1}{3}} \][/tex]

3. Divide 72 by [tex]\(\frac{1}{3}\)[/tex]:
- Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{1}{3}\)[/tex] is 3, so:
[tex]\[ \frac{72}{\frac{1}{3}} = 72 \times 3 \][/tex]

4. Calculate the result:
- [tex]\( 72 \times 3 = 216 \)[/tex]

Therefore, Susan can read 216 words per minute.

The correct statement is:
- "She can read 216 words per minute, because 72 divided by [tex]\(\frac{1}{3}\)[/tex] is equal to 216."
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