a. \( 2 \frac{2}{3}+1 \frac{1}{2}+3 \frac{3}{4}= \)

Calculate or simplify the expression \( 2\frac{2}{3}+1\frac{1}{2}+3\frac{3}{4} \). Calculate the value by following steps: - step0: Calculate: \(2\frac{2}{3}+1\frac{1}{2}+3\frac{3}{4}\) - step1: Convert the expressions: \(\frac{8}{3}+\frac{3}{2}+\frac{15}{4}\) - step2: Reduce fractions to a common denominator: \(\frac{8\times 2\times 2}{3\times 2\times 2}+\frac{3\times 3\times 2}{2\times 3\times 2}+\frac{15\times 3}{4\times 3}\) - step3: Multiply the terms: \(\frac{8\times 2\times 2}{12}+\frac{3\times 3\times 2}{2\times 3\times 2}+\frac{15\times 3}{4\times 3}\) - step4: Multiply the terms: \(\frac{8\times 2\times 2}{12}+\frac{3\times 3\times 2}{12}+\frac{15\times 3}{4\times 3}\) - step5: Multiply the numbers: \(\frac{8\times 2\times 2}{12}+\frac{3\times 3\times 2}{12}+\frac{15\times 3}{12}\) - step6: Transform the expression: \(\frac{8\times 2\times 2+3\times 3\times 2+15\times 3}{12}\) - step7: Multiply the terms: \(\frac{32+3\times 3\times 2+15\times 3}{12}\) - step8: Multiply the terms: \(\frac{32+18+15\times 3}{12}\) - step9: Multiply the numbers: \(\frac{32+18+45}{12}\) - step10: Add the numbers: \(\frac{95}{12}\) The sum of \(2 \frac{2}{3} + 1 \frac{1}{2} + 3 \frac{3}{4}\) is equal to \(7 \frac{11}{12}\) or approximately 7.9166.