\( 5 \frac{1}{2}-n+3 \) for \( n=3 \frac{1}{3} \)

Substitute \( n=3\frac{1}{3} \) into the expression \( 5\frac{1}{2}-n+3 \). Evaluate the expression by following steps: - step0: Evaluate: \(5\frac{1}{2}-n+3\) - step1: Substitute: \(5\frac{1}{2}-3\frac{1}{3}+3\) - step2: Convert the expressions: \(\frac{11}{2}-\frac{10}{3}+3\) - step3: Reduce fractions to a common denominator: \(\frac{11\times 3}{2\times 3}-\frac{10\times 2}{3\times 2}+\frac{3\times 2\times 3}{2\times 3}\) - step4: Multiply the numbers: \(\frac{11\times 3}{6}-\frac{10\times 2}{3\times 2}+\frac{3\times 2\times 3}{2\times 3}\) - step5: Multiply the numbers: \(\frac{11\times 3}{6}-\frac{10\times 2}{6}+\frac{3\times 2\times 3}{2\times 3}\) - step6: Multiply the numbers: \(\frac{11\times 3}{6}-\frac{10\times 2}{6}+\frac{3\times 2\times 3}{6}\) - step7: Transform the expression: \(\frac{11\times 3-10\times 2+3\times 2\times 3}{6}\) - step8: Multiply the numbers: \(\frac{33-10\times 2+3\times 2\times 3}{6}\) - step9: Multiply the numbers: \(\frac{33-20+3\times 2\times 3}{6}\) - step10: Multiply the terms: \(\frac{33-20+18}{6}\) - step11: Calculate: \(\frac{31}{6}\) The value of \(5\frac{1}{2}-n+3\) when \(n=3\frac{1}{3}\) is \(5\frac{1}{6}\) or \(5.1\dot{6}\).