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Last week, Billy spent $4\frac{3}{4}$ hours watching television. Clare watched television for $\frac{4}{5}$ as many hours as Billy did. How many hours did Clare spend watching television? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ hours

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Multiply mixed numbers: word problems

Full solution

Q. Last week, Billy spent

4\frac{3}{4}

hours watching television. Clare watched television for

\frac{4}{5}

as many hours as Billy did. How many hours did Clare spend watching television?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

hours

Convert to Improper Fraction: Convert Billy's watching time from mixed number to improper fraction. $\newline$ $4 \frac{3}{4}$ hours = $(4 \times 4 + 3)/4 = \frac{19}{4}$ hours. $\newline$ Calculation: $4 \times 4 + 3 = 16 + 3 = 19$ . So, $\frac{19}{4}$ .
Calculate Fraction of Time: Calculate the fraction of time Clare watched compared to Billy. $\newline$ Clare watched $\frac{4}{5}$ of Billy's time. $\newline$ Calculation: $\left(\frac{4}{5}\right) \times \left(\frac{19}{4}\right) = \frac{76}{20} = 3.8$ hours.

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