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What is the sum to this question: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.

Guest Feb 16, 2017

#1
+19597
+10

What is the sum to this question:
A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.

$$\begin{array}{|rcll|} \hline && 3 \frac{1}{6} \ \text{miles}+ 2 \frac{1}{2}\ \text{miles} \\ &=& 3+2 +\frac{1}{6} + \frac{1}{2} \\ &=& 5 +\frac{1}{6} + \frac{1}{2} \\ &=& 5 +\frac{1}{6} + \frac{1}{2}\cdot \frac{3}{3} \\ &=& 5 +\frac{1}{6} + \frac{3}{6} \\ &=& 5 +\frac{4}{6} \\ &=& 5 +\frac{2}{3} \\ &=& 5 \frac{2}{3}\ \text{miles} \\ &=& 5.\bar{6}\ \text{miles} \\ \hline \end{array}$$

heureka  Feb 17, 2017
#1
+19597
+10

What is the sum to this question:
A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.

$$\begin{array}{|rcll|} \hline && 3 \frac{1}{6} \ \text{miles}+ 2 \frac{1}{2}\ \text{miles} \\ &=& 3+2 +\frac{1}{6} + \frac{1}{2} \\ &=& 5 +\frac{1}{6} + \frac{1}{2} \\ &=& 5 +\frac{1}{6} + \frac{1}{2}\cdot \frac{3}{3} \\ &=& 5 +\frac{1}{6} + \frac{3}{6} \\ &=& 5 +\frac{4}{6} \\ &=& 5 +\frac{2}{3} \\ &=& 5 \frac{2}{3}\ \text{miles} \\ &=& 5.\bar{6}\ \text{miles} \\ \hline \end{array}$$

heureka  Feb 17, 2017