Question

1. $4\frac{5}{8} + 6\frac{1}{2}$

Explanation:

Step1: Convert mixed numbers to improper fractions or find a common denominator for the fractions. Let's find a common denominator for the fractional parts. The denominator of the first fraction is 8, and the second is 2. The least common denominator is 8. So we convert \(6\frac{1}{2}\) to eighths. \(6\frac{1}{2} = 6\frac{4}{8}\) (since \(\frac{1}{2}=\frac{4}{8}\)).

Step2: Now add the whole numbers and the fractions separately. The whole numbers are 4 and 6, so \(4 + 6 = 10\). The fractions are \(\frac{5}{8}\) and \(\frac{4}{8}\), so \(\frac{5}{8}+\frac{4}{8}=\frac{9}{8}\).

Step3: Convert \(\frac{9}{8}\) to a mixed number, which is \(1\frac{1}{8}\), and then add it to the sum of the whole numbers. \(10 + 1\frac{1}{8}=11\frac{1}{8}\).

Answer:

\(11\frac{1}{8}\)