Question

4\frac{4}{6} + 7\frac{5}{6} =

Explanation:

Step1: Add the whole numbers and fractions separately

The given expression is \(4\frac{4}{6}+7\frac{5}{6}\). First, add the whole numbers: \(4 + 7=11\). Then add the fractions: \(\frac{4}{6}+\frac{5}{6}=\frac{4 + 5}{6}=\frac{9}{6}\).

Step2: Simplify the fraction and combine with the whole number

Simplify \(\frac{9}{6}\) to \(\frac{3}{2}=1\frac{1}{2}\). Now combine with the whole number from Step 1: \(11+1\frac{1}{2}=12\frac{1}{2}\) (or we can also convert the mixed numbers to improper fractions first: \(4\frac{4}{6}=\frac{4\times6 + 4}{6}=\frac{28}{6}\), \(7\frac{5}{6}=\frac{7\times6+5}{6}=\frac{47}{6}\), then add: \(\frac{28}{6}+\frac{47}{6}=\frac{28 + 47}{6}=\frac{75}{6}=\frac{25}{2}=12\frac{1}{2}\)).

Answer:

\(12\frac{1}{2}\) (or \(\frac{25}{2}\))