Debbie ran 6 2/3 miles around the track. Each lap is 1 2/3 miles. How many laps did Debbie run? Write your answer as a fraction or as a whole or mixed number. _____ laps

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculations. Debbie ran 6 2/3 miles, and each lap is 1 2/3 miles. Convert these to improper fractions: 6 2/3 = (6*3 + 2)/3 = 20/3 miles, 1 2/3 = (1*3 + 2)/3 = 5/3 miles. Calculate Number of Laps: Divide the total distance by the distance per lap to find the number of laps: 20/3 ÷ 5/3 = (20/3) * (3/5) = 20/5 = 4 laps.

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Debbie ran $6\frac{2}{3}$ miles around the track. Each lap is $1\frac{2}{3}$ miles. How many laps did Debbie run? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ laps

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Grade 8

Multiply and divide rational numbers: word problems

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Q. Debbie ran

6\frac{2}{3}

miles around the track. Each lap is

1\frac{2}{3}

miles. How many laps did Debbie run?

\newline

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

\newline

_____ laps

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculations. Debbie ran $6\frac{2}{3}$ miles, and each lap is $1\frac{2}{3}$ miles. Convert these to improper fractions: $\newline$ $6\frac{2}{3} = (6\times 3 + 2)/3 = \frac{20}{3}$ miles, $\newline$ $1\frac{2}{3} = (1\times 3 + 2)/3 = \frac{5}{3}$ miles.
Calculate Number of Laps: Divide the total distance by the distance per lap to find the number of laps: $\newline$ $\frac{20}{3} \div \frac{5}{3} = \left(\frac{20}{3}\right) \times \left(\frac{3}{5}\right) = \frac{20}{5} = 4$ laps.