Please do the following calculation. You need to simplify your answer and rewrite any improper fractions as a mixed number or integer. \( 3 \frac{1}{6}+2 \frac{3}{4}= \)

Calculate or simplify the expression \( 3+\frac{1}{6}+2+\frac{3}{4} \). Calculate the value by following steps: - step0: Calculate: \(3+\frac{1}{6}+2+\frac{3}{4}\) - step1: Add the numbers: \(5+\frac{1}{6}+\frac{3}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{5\times 6\times 2}{6\times 2}+\frac{2}{6\times 2}+\frac{3\times 3}{4\times 3}\) - step3: Multiply the numbers: \(\frac{5\times 6\times 2}{12}+\frac{2}{6\times 2}+\frac{3\times 3}{4\times 3}\) - step4: Multiply the numbers: \(\frac{5\times 6\times 2}{12}+\frac{2}{12}+\frac{3\times 3}{4\times 3}\) - step5: Multiply the numbers: \(\frac{5\times 6\times 2}{12}+\frac{2}{12}+\frac{3\times 3}{12}\) - step6: Transform the expression: \(\frac{5\times 6\times 2+2+3\times 3}{12}\) - step7: Multiply the terms: \(\frac{60+2+3\times 3}{12}\) - step8: Multiply the numbers: \(\frac{60+2+9}{12}\) - step9: Add the numbers: \(\frac{71}{12}\) The result of the calculation \(3 \frac{1}{6}+2 \frac{3}{4}\) is \(5 \frac{11}{12}\) or \(5.9166\).