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If Carol can write 3 articles for the newspaper every \(2 \frac{\mathrm{1} }{\mathrm{2} } \) hours, how many articles can she write in 10 hours?
12 articles.
24 articles.
6 articles.
18 articles.
Detailed Explanation
Convert the mixed number to an improper fraction by multiplying the denominator by the base number and adding it to the numerator. \(2 \frac{\mathrm{1} }{\mathrm{2} } = \frac{\mathrm{2 \times 2 + 1} }{\mathrm{2} } = \frac{\mathrm{5} }{\mathrm{2}} \).
Divide 10 hours by 5/2.
Remember that when dividing by a fraction, you can multiply it by its reciprocal instead. \(10 \div \frac{\mathrm{5} }{\mathrm{2} } = 10 \times \frac{\mathrm{2} }{\mathrm{5} } = \frac{\mathrm{20} }{\mathrm{5} } = 4\) .
Since Carol can write 3 articles in each \(2 \frac{\mathrm{1} }{\mathrm{2} } \) hour time period, multiply 4 by 3 to find the total number of articles she can write in 10 hours. \(4 \times 3 = 12\) articles.
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