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

Charlie reads quickly. He reads 137 1 \frac{3}{7} pages every 23 \frac{2}{3} minutes. Charlie read: at a constant rate.\newlineHow many pages does he read per minute?\newlinepages per minute

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Q. Charlie reads quickly. He reads 137 1 \frac{3}{7} pages every 23 \frac{2}{3} minutes. Charlie read: at a constant rate.\newlineHow many pages does he read per minute?\newlinepages per minute
  1. Convert to Improper Fraction: Convert the mixed number to an improper fraction to simplify the calculation.\newlineCharlie reads 1(37)1\left(\frac{3}{7}\right) pages every (23)\left(\frac{2}{3}\right) minutes. To convert 1(37)1\left(\frac{3}{7}\right) to an improper fraction, multiply the whole number by the denominator and add the numerator.\newline1(37)=(1×7+3)/7=(7+3)/7=1071\left(\frac{3}{7}\right) = \left(1 \times 7 + 3\right)/7 = \left(7 + 3\right)/7 = \frac{10}{7} pages
  2. Calculate Pages per Minute: Calculate the number of pages Charlie reads per minute.\newlineTo find the pages per minute, divide the number of pages he reads by the time it takes.\newlinePages per minute = (Number of pages)/(Time in minutes)(\text{Number of pages}) / (\text{Time in minutes})\newlinePages per minute = (10/7)/(2/3)(10/7) / (2/3)\newlineTo divide by a fraction, multiply by its reciprocal.\newlinePages per minute = (10/7)×(3/2)(10/7) \times (3/2)
  3. Perform Multiplication: Perform the multiplication to find the pages per minute.\newlinePages per minute = (10×3)/(7×2)(10 \times 3) / (7 \times 2)\newlinePages per minute = 30/1430 / 14\newlinePages per minute = 15/715 / 7
  4. Simplify Fraction: Simplify the fraction if possible. \newline157\frac{15}{7} is already in its simplest form, so this is the final answer.\newlinePages per minute = 157\frac{15}{7}

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