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Question:

# 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?

A 12 articles
explanation

Convert the mixed number to an improper fraction by multiplying the denominator by the base number and adding it to the numerator. $2 \frac{\mathrm{1} }{\mathrm{2} } = \frac{\mathrm{2 \times 2 + 1} }{\mathrm{2} } = \frac{\mathrm{5} }{\mathrm{2} x}$. 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