Question

3\frac{4}{6} + 2\frac{6}{8}

Explanation:

Step1: Simplify the fractions

$3\frac{4}{6} = 3\frac{2}{3}$, $2\frac{6}{8} = 2\frac{3}{4}$

Step2: Convert to improper fractions

$3\frac{2}{3} = \frac{3\times3 + 2}{3} = \frac{11}{3}$, $2\frac{3}{4} = \frac{2\times4 + 3}{4} = \frac{11}{4}$

Step3: Find common denominator (12)

$\frac{11}{3} = \frac{11\times4}{3\times4} = \frac{44}{12}$, $\frac{11}{4} = \frac{11\times3}{4\times3} = \frac{33}{12}$

Step4: Add the fractions

$\frac{44}{12} + \frac{33}{12} = \frac{77}{12}$

Step5: Convert to mixed number

$\frac{77}{12} = 6\frac{5}{12}$

Answer:

$6\frac{5}{12}$ (or $\frac{77}{12}$)