Charlie reads quickly. He reads 1 3/7 pages every 2/3 minutes. Charlie reads at a constant rate. How many pages does he read per minute?

Convert to improper fraction: Convert mixed number to improper fraction. 1 3/7 = 10/7Set up rate as fraction: Set up the rate as a fraction. (10/7) pages / (2/3) minutesDivide fractions by reciprocal: Divide the fractions by multiplying by the reciprocal. (10/7) * (3/2) = 30/14Simplify the fraction: Simplify the fraction. 30/14 = 15/7Convert to mixed number: Convert the improper fraction to a mixed number. 15/7 = 2 1/7

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Charlie reads quickly. He reads $1 \frac{3}{7}$ pages every $\frac{2}{3}$ minutes. Charlie reads at a constant rate. How many pages does he read per minute?

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Q. Charlie reads quickly. He reads

1 \frac{3}{7}

pages every

\frac{2}{3}

minutes. Charlie reads at a constant rate. How many pages does he read per minute?

Convert to improper fraction: Convert mixed number to improper fraction. $1 \frac{3}{7} = \frac{10}{7}$
Set up rate as fraction: Set up the rate as a fraction. $\frac{10}{7}$ pages / $\frac{2}{3}$ minutes
Divide fractions by reciprocal: Divide the fractions by multiplying by the reciprocal. $\frac{10}{7} \times \frac{3}{2} = \frac{30}{14}$
Simplify the fraction: Simplify the fraction. $\frac{30}{14} = \frac{15}{7}$
Convert to mixed number: Convert the improper fraction to a mixed number. $\frac{15}{7} = 2 \frac{1}{7}$