Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions [tex]\frac{1}{2}[/tex] and [tex]\frac{5}{8}[/tex] and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
Least Common Denominator:
[tex]\frac{1}{2}[/tex] = [tex]\frac{4}{8}[/tex]
[tex]\frac{5}{8}[/tex] = [tex]\frac{5}{8}[/tex]
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8