Question

Meg takes 3/5 to read a book. Her friends take 2/3 of the time she takes. How long will it take her friend to read 3 similar books?

Answer 1

so Meg's friend is a faster reader, if Meg takes 3/5 of an hour I guess, to read one book, her friend takes 2/3 of that.

how much is 2/3 of 3/5? well, is just their product.

`\bf \cfrac{3}{5}\cdot \cfrac{2}{3}\implies \cfrac{3}{3}\cdot \cfrac{2}{5}\implies 1\cdot \cfrac{2}{5}\implies \cfrac{2}{5}\impliedby \textit{for one book only} \\\\\\ \stackrel{first~book}{\cfrac{2}{5}}+\stackrel{second~book}{\cfrac{2}{5}}+\stackrel{third~book}{\cfrac{2}{5}}\implies \cfrac{6}{5}\implies 1(1)/(5)\impliedby \textit{for three books}`