5. \( 4 \frac{6}{8}+1 \frac{2}{5}= \)

Calculate or simplify the expression \( 4+\frac{6}{8}+1+\frac{2}{5} \). Calculate the value by following steps: - step0: Calculate: \(4+\frac{6}{8}+1+\frac{2}{5}\) - step1: Reduce the fraction: \(4+\frac{3}{4}+1+\frac{2}{5}\) - step2: Add the numbers: \(5+\frac{3}{4}+\frac{2}{5}\) - step3: Reduce fractions to a common denominator: \(\frac{5\times 4\times 5}{4\times 5}+\frac{3\times 5}{4\times 5}+\frac{2\times 4}{5\times 4}\) - step4: Multiply the numbers: \(\frac{5\times 4\times 5}{20}+\frac{3\times 5}{4\times 5}+\frac{2\times 4}{5\times 4}\) - step5: Multiply the numbers: \(\frac{5\times 4\times 5}{20}+\frac{3\times 5}{20}+\frac{2\times 4}{5\times 4}\) - step6: Multiply the numbers: \(\frac{5\times 4\times 5}{20}+\frac{3\times 5}{20}+\frac{2\times 4}{20}\) - step7: Transform the expression: \(\frac{5\times 4\times 5+3\times 5+2\times 4}{20}\) - step8: Multiply the terms: \(\frac{100+3\times 5+2\times 4}{20}\) - step9: Multiply the numbers: \(\frac{100+15+2\times 4}{20}\) - step10: Multiply the numbers: \(\frac{100+15+8}{20}\) - step11: Add the numbers: \(\frac{123}{20}\) The result of \(4 \frac{6}{8}+1 \frac{2}{5}\) is \(6 \frac{3}{20}\) or 6.15.