Question

what is $2\frac{4}{6}+5\frac{3}{6}$? $7\frac{1}{6}$ $7\frac{7}{12}$ $8\frac{7}{12}$ $8\frac{1}{6}$

Explanation:

Step1: Add the whole numbers and the fractions separately

First, add the whole number parts: \(2 + 5 = 7\). Then add the fractional parts: \(\frac{4}{6}+\frac{3}{6}=\frac{4 + 3}{6}=\frac{7}{6}\).

Step2: Convert the improper fraction to a mixed number and add to the whole number result

We know that \(\frac{7}{6}=1\frac{1}{6}\). Now add this to the sum of the whole numbers (\(7\)): \(7+1\frac{1}{6}=8\frac{1}{6}\).

Answer:

\(8\frac{1}{6}\) (corresponding to the option \(8\frac{1}{6}\))