Question

Tiffani Lind got her new weekly course schedule from Roxbury Community College in Boston. Following are her classes and their length: How long will she be in class each week?Number of hours____

Answer 1

Number of hours: 10¾.

Explanation:

In order to find out how long Tiffani will be in class each week, add the duration for each of the courses.

`\text{Total}=2(1)/(2)+1(1)/(2)+1(1)/(2)+2(1)/(4)+1(1)/(4)+1(3)/(4)`

Next, group the sum into whole numbers and fractions.

`\begin{gathered} =2+(1)/(2)+1+(1)/(2)+1+(1)/(2)+2+(1)/(4)+1+(1)/(4)+1+(3)/(4) \\ =2+1+1+2+1+1+(1)/(2)+(1)/(2)+(1)/(2)+(1)/(4)+(1)/(4)+(3)/(4) \end{gathered}`

Add the whole parts and fractional parts.

`\begin{gathered} =8+((1)/(2)+(1)/(2))+(1)/(2)+(1)/(4)+((1)/(4)+(3)/(4)) \\ =8+1+(1)/(2)+(1)/(4)+1 \\ =8+1+1+(1)/(2)+(1)/(4) \\ =8+1+1+(2+1)/(4) \\ =10+(3)/(4) \\ =10(3)/(4)\text{ hours} \end{gathered}`

She will be in class for 10¾ hours.