Ali took 3 1/2 hours to clean the bathroom. Then he took 4 1/3 hours to clean the bedroom. How much total time did Ali take to clean the two rooms? Write your answer as a mixed number in simplest form.

Respuesta :

[tex]7\frac{5}{6}\:hours[/tex]

1) Let's do it this way in parts. The first one is to add the whole numbers separately:

[tex]\begin{gathered} 3\frac{1}{2}+4\frac{1}{3}\Rightarrow3+4=7 \\ \end{gathered}[/tex]

2) Note that the fractions do not have the same bottom number, so let's take the LCM(3,2) = 6 and then multiply each fraction by the LCM:

[tex]3\frac{1}{2}+4\frac{1}{3}=(3+4)+(\frac{1}{2}+\frac{1}{3})=7+\frac{5}{6}=7\frac{5}{6}[/tex]

So, Ali takes 7 5/6 hours