Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
Mathematics
tylasiaknox
Question
Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
1 Answer

1. User Answers jdoe0001
well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{12} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]