Question

richard can read \\(\frac{1}{4}\\) of a book in \\(\frac{3}{5}\\) of an hour. at this rate, how much can richard read in one hour?\
\\(\bigcirc\\) a. \\(2\frac{2}{5}\\) books\
\\(\bigcirc\\) b. \\(\frac{4}{9}\\) of a book\
\\(\bigcirc\\) c. \\(\frac{5}{12}\\) of a book\
\\(\bigcirc\\) d. \\(\frac{3}{20}\\) of a book

Explanation:

Step1: Set up rate equation

Rate = $\frac{\text{Portion read}}{\text{Time spent}} = \frac{\frac{1}{4}}{\frac{3}{5}}$

Step2: Compute hourly reading rate

$\frac{1}{4} \div \frac{3}{5} = \frac{1}{4} \times \frac{5}{3} = \frac{5}{12}$

Answer:

C. $\frac{5}{12}$ of a book