Question

The bus took 4 2/5hours to get from the station to Portland and 3 3/4 hours to get from Portland to Seattle. How long did the bus take to get from the station to Seattle? 4

Answer 1

We can add both times to get the total time the bus traveled from the station to Seattle. We will convert the mixed fractions to improper fractions to do the addition easily:

`\begin{gathered} \text{Addition:} \\ (a)/(b)+(c)/(d)=(a\cdot d+b\cdot c)/(b\cdot d) \\ 4(2)/(5)+3(3)/(4)=(20+2)/(5)+(12+3)/(4)=(22)/(5)+(15)/(4) \\ =(4\cdot22+5\cdot15)/(5\cdot4)=(88+75)/(20)=(163)/(20)=8(3)/(20) \end{gathered}`

therefore, the bus traveled 8 3/20 hours from the station to Seattle