Jerry is a judge. He hears 5 cases every 2(3)/(8) hours. Jerry hears cases at a constant rate. How many cases does he hear per hour? cases per hour

Convert to Improper Fraction: Convert the mixed number 2(3)/(8) hours to an improper fraction to simplify calculations. 2(3)/(8) hours = (2 * 8 + 3)/8 = (16 + 3)/8 = 19/8 hours.Calculate Rate per Hour: Calculate the rate at which Jerry hears cases per hour by dividing the total number of cases by the total hours. Jerry hears 5 cases every 19/8 hours, so the rate is 5 cases per 19/8 hours. To find the number of cases per hour, divide 5 by 19/8. Cases per hour = 5 ÷ (19/8) = 5 * (8/19) = 40/19.Simplify Final Answer: Simplify the fraction to get the final answer. 40/19 cases per hour is the rate at which Jerry hears cases.

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Jerry is a judge. He hears 5 cases every
2(3)/(8) hours. Jerry hears cases at a constant rate.
How many cases does he hear per hour?
cases per hour

Jerry is a judge. He hears $5$ cases every $2 \frac{3}{8}$ hours. Jerry hears cases at a constant rate. $\newline$ How many cases does he hear per hour? $\newline$ cases per hour

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Grade 6

GCF and LCM: word problems

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Q. Jerry is a judge. He hears

5

cases every

2 \frac{3}{8}

hours. Jerry hears cases at a constant rate.

\newline

How many cases does he hear per hour?

\newline

cases per hour

Convert to Improper Fraction: Convert the mixed number $2\frac{3}{8}$ hours to an improper fraction to simplify calculations. $\newline$ $2\frac{3}{8}$ hours = $\frac{2 \times 8 + 3}{8} = \frac{16 + 3}{8} = \frac{19}{8}$ hours.
Calculate Rate per Hour: Calculate the rate at which Jerry hears cases per hour by dividing the total number of cases by the total hours. $\newline$ Jerry hears $5$ cases every $\frac{19}{8}$ hours, so the rate is $5$ cases per $\frac{19}{8}$ hours. $\newline$ To find the number of cases per hour, divide $5$ by $\frac{19}{8}$ . $\newline$ Cases per hour = $5 \div (\frac{19}{8}) = 5 \times (\frac{8}{19}) = \frac{40}{19}$ . $\newline$ $\frac{40}{19}$ cases per hour is the rate at which Jerry hears cases.