Question
1. Fritz attended band practice for \( \frac{5}{6} \) hour. Then he went home and practiced for \( { }^{2} \) as long as band practice. How many minutes did he practice at home?
Ask by Stephens Parsons. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Fritz practiced at home for 100 minutes.
Solution
Fritz attended band practice for \( \frac{5}{6} \) hour. He practiced at home for twice that time.
1. Calculate the home practice time in hours:
\[
\text{Home time} = 2 \times \frac{5}{6} = \frac{10}{6} = \frac{5}{3} \text{ hours}
\]
2. Convert hours to minutes:
\[
\frac{5}{3} \text{ hours} \times 60 \text{ minutes per hour} = \frac{300}{3} = 100 \text{ minutes}
\]
Thus, Fritz practiced at home for \( 100 \) minutes.
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Beyond the Answer
Fritz attended band practice for \( \frac{5}{6} \) hour, which is equivalent to \( \frac{5}{6} \times 60 = 50 \) minutes. Since he practiced at home for twice the duration of his band practice, he practiced for \( 2 \times 50 = 100 \) minutes at home. So, he practiced at home for **100 minutes**.