Buy ice cream

Yesterday, Hector walked 2 1/5 miles from the swimming pool to the ice cream stand and 1/2 of a mile from the ice cream stand back home. How many miles did Hector walk in all?

Final Answer:

w =  2 ⁷⁄₁₀ = 27/10 mi

Step-by-step explanation:

$$\begin{gathered} a=2\frac{1}{5}=2+\frac{1}{5}=\frac{2\cdot 5+1}{5}=\frac{10+1}{5}=\frac{11}{5}=2.2\text{mi} \\ b=\frac{1}{2}=0.5\text{mi} \\ w=a+b=\frac{11}{5}+\frac{1}{2}=\frac{22}{10}+\frac{5}{10}=\frac{22+5}{10}=\frac{27}{10}=\frac{27}{10}\text{mi}=2\frac{7}{10}\text{mi}=2.7\text{mi} \end{gathered}$$

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