The problem is asking us to add two mixed numbers in order to calculate the number of miles ridden.
So in order to be able to add them, we need to convert them in fraction form and afterwards find a common denominator to add them.
The mixed number: 2 4/5 is the same as 10/5 + 4/5 = 14/5
The mixed number 1 3/10 = 10/10 + 3/10 = 13/10
Noe, we need to add them:
14/5 + 13/10, and we notice that the Least Common Denominator for these two fractions is: "10". So we write the first one with denominator 10 by multiplying numerator and denominator by "2":
14/5 + 13/10 = 28/10 + 13/10 = 41/10
Now, we write this improper fraction in mixed number form:
41/10 = 40/10 + 1/10 = 4 1/10
So the person rode a total of 4 1/10 miles