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Question
Cooper read
16(1)/(2) pages in
(3)/(4) of an hour. At what rate, in pages per hour, did he read?
Answer Attempt 1 out of 2
Answer type: Mixed number
T pages per hour

Question $\newline$ Cooper read $16 \frac{1}{2}$ pages in $\frac{3}{4}$ of an hour. At what rate, in pages per hour, did he read? $\newline$ Answer Attempt $1$ out of $2$ $\newline$ Answer type: Mixed number $\newline$ T pages per hour

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Probability of one event

Full solution

Q. Question

\newline

Cooper read

16 \frac{1}{2}

pages in

\frac{3}{4}

of an hour. At what rate, in pages per hour, did he read?

\newline

Answer Attempt

1

out of

2

\newline

Answer type: Mixed number

\newline

T pages per hour

Identify total pages and time: Identify the total number of pages read and the time taken to read them. $\newline$ Cooper read $16\frac{1}{2}$ pages in $\frac{3}{4}$ of an hour.
Convert mixed number: Convert the mixed number $16\left(\frac{1}{2}\right)$ to an improper fraction to make the calculation easier. $\newline$ $16\left(\frac{1}{2}\right) = \left(16 \times 2 + 1\right)/2 = \left(32 + 1\right)/2 = \frac{33}{2}$ pages
Calculate rate: Calculate the rate by dividing the number of pages by the time taken. $\newline$ Rate = $\frac{\text{Number of pages}}{\text{Time taken}}$ $\newline$ Rate = $\frac{33}{2}$ pages / $\frac{3}{4}$ hour
Multiply by reciprocal: To divide by a fraction, multiply by its reciprocal. $\newline$ Rate = $\frac{33}{2}$ pages * $\frac{4}{3}$ hour $^{-1}$
Perform multiplication: Perform the multiplication to find the rate. $\newline$ Rate = $(33 \times 4) / (2 \times 3)$ pages per hour $\newline$ Rate = $132 / 6$ pages per hour $\newline$ Rate = $22$ pages per hour

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\newline

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\newline

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