Question

\\1 \frac{5}{6} + 2 \frac{3}{4} =\\

Explanation:

Convert mixed numbers to improper fractions

$$ 1\frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{11}{6} $$

$$ 2\frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} $$

Find a common denominator and add

$$ \text{LCD}(6, 4) = 12 $$

$$ \frac{11}{6} + \frac{11}{4} = \frac{22}{12} + \frac{33}{12} = \frac{55}{12} $$

Convert back to a mixed number

$$ \frac{55}{12} = 4\frac{7}{12} $$

Answer:

\(1\frac{5}{6} + 2\frac{3}{4} =\) <blank>\(4\frac{7}{12}\)</blank>