Pregunta
Lesson Check (5.Nf.B.4a) 1. Fritz attended band practice for \( \frac{5}{6} \) hour. Then he went home and practiced for \( \frac{2}{5} \) as long as band practice. How many minutes did he practice at home?
Ask by Vega Adkins. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Fritz practiced at home for 20 minutes.
Solución
1. Compute the home practice time in hours by multiplying the band practice time by \( \frac{2}{5} \):
\[
\text{Home practice time} = \frac{2}{5} \times \frac{5}{6} = \frac{10}{30} = \frac{1}{3} \text{ hour}
\]
2. Convert \(\frac{1}{3}\) hour into minutes knowing that 1 hour equals 60 minutes:
\[
\text{Minutes practiced} = \frac{1}{3} \times 60 = 20 \text{ minutes}
\]
Thus, Fritz practiced at home for \(20\) minutes.
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Simplifique esta solución Mind Expander
Fritz practiced for \( \frac{5}{6} \) hour at band practice. To see how long he practiced at home, we first need to find \( \frac{2}{5} \) of that time. We multiply \( \frac{5}{6} \) by \( \frac{2}{5} \): \[ \frac{5}{6} \times \frac{2}{5} = \frac{10}{30} = \frac{1}{3} \text{ hour} \] Now, to convert hours to minutes, we multiply \( \frac{1}{3} \) by 60 (since there are 60 minutes in an hour): \[ \frac{1}{3} \times 60 = 20 \] So, Fritz practiced for 20 minutes at home!
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