Question

Lin ran 2 3/4 miles in 2/5 of an hour. How far would Lin run in 1 hour?

Answer 1

`\begin{gathered} 2(3)/(4)=(8+3)/(4)=(11)/(4) \\ (11)/(4)mi\to(2)/(5)h \\ xmi\to1h \end{gathered}`

Using cross multiplication:

`\begin{gathered} (11)/((4)/(x))=(2)/(5) \\ x=(11)/(4)\cdot(5)/(2) \\ x=(55)/(8)mi=6(7)/(8)mi \end{gathered}`

Convert a mixed number to a fraction:

`a(c)/(b)=(a\cdot b+c)/(b)`