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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?
pages per minute

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

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GCF and LCM: word problems

Full solution

Q. Charlie reads quickly. He reads

1 \frac{3}{7}

pages every

\frac{2}{3}

minutes. Charlie reads at a constant rate.

\newline

How many pages does he read per minute?

\newline

pages per minute

Convert to Improper Fraction: Convert the mixed number to an improper fraction to simplify the calculation. $\newline$ $1\left(\frac{3}{7}\right)$ pages is the same as $\left(\frac{7}{7} + \frac{3}{7}\right)$ pages, which equals $\left(\frac{10}{7}\right)$ pages.
Find Pages per Minute: To find out how many pages Charlie reads per minute, divide the number of pages he reads in $(2/3)$ minutes by $(2/3)$ . $\newline$ The expression for the number of pages per minute is $(10/7)$ pages $\div$ $(2/3)$ minutes.
Divide by Reciprocal: To divide by a fraction, multiply by its reciprocal. $\newline$ So, $(\frac{10}{7})$ pages $\div (\frac{2}{3})$ minutes = $(\frac{10}{7})$ pages $\times (\frac{3}{2})$ minutes $^{-1}$ .
Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. $\newline$ $(10 \times 3) / (7 \times 2) = 30/14$ pages per minute.
Simplify Fraction: Simplify the fraction. $\frac{30}{14}$ can be simplified to $\frac{15}{7}$ pages per minute.
Convert to Mixed Number: Convert the improper fraction back to a mixed number if necessary. $\newline$ $\frac{15}{7}$ pages per minute is the same as $2\left(\frac{1}{7}\right)$ pages per minute.

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