Team run

In a three-person relay race, the first team member must run 2 1/4 laps, the second team member must run 1 1/2 laps, and the third team member must run 3 1/4 laps. How many laps must each team run in all?

Final Answer:

r =  7

Step-by-step explanation:

$$\begin{gathered} a=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2\frac{1}{4}=2.25 \\ b=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ c=3\frac{1}{4}=3+\frac{1}{4}=\frac{3\cdot 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}=3\frac{1}{4}=3.25 \\ r=a+b+c=\frac{9}{4}+\frac{3}{2}+\frac{13}{4}=\frac{9}{4}+\frac{6}{4}+\frac{13}{4}=\frac{9+6+13}{4}=\frac{28}{4}=7 \end{gathered}$$

Try another example