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Dante took
5(1)/(2) hours to clean the bathroom. He took
3(2)/(5) hours to clean the bedroom. How much longer did it take Dante to clean the bathroom?
Write your answer as a mixed number in simplest form.

Dante took $5 \frac{1}{2}$ hours to clean the bathroom. He took $3 \frac{2}{5}$ hours to clean the bedroom. How much longer did it take Dante to clean the bathroom? $\newline$ Write your answer as a mixed number in simplest form.

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Multiplication with rational exponents

Full solution

Q. Dante took

5 \frac{1}{2}

hours to clean the bathroom. He took

3 \frac{2}{5}

hours to clean the bedroom. How much longer did it take Dante to clean the bathroom?

\newline

Write your answer as a mixed number in simplest form.

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculation. $\newline$ $5\frac{1}{2} = \frac{5\times 2 + 1}{2} = \frac{11}{2}$ hours. $\newline$ $3\frac{2}{5} = \frac{3\times 5 + 2}{5} = \frac{17}{5}$ hours.
Subtract Time Taken: Subtract the time taken to clean the bedroom from the time taken to clean the bathroom. $\newline$ $\frac{11}{2} - \frac{17}{5} = \frac{55 - 34}{10} = \frac{21}{10}$ hours.
Convert Back to Mixed Number: Convert the improper fraction back to a mixed number to answer the question. $\frac{21}{10} = 2\frac{1}{10}$ hours.

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