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QUESTION IMAGE

4 (2\frac{1}{2} - \frac{2}{3})

Question

4 (2\frac{1}{2} - \frac{2}{3})

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$

Step2: Find common denominator (6) and subtract

$\frac{5}{2}-\frac{2}{3}=\frac{5\times3}{2\times3}-\frac{2\times2}{3\times2}=\frac{15}{6}-\frac{4}{6}=\frac{15 - 4}{6}=\frac{11}{6}$

Step3: Convert back to mixed number (optional)

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

Answer:

$1\frac{5}{6}$ (or $\frac{11}{6}$)