1. The problem is to evaluate the expression $7 \_ 7 \frac{1}{2}$, which appears to be $7 - 7 \times \frac{1}{2}$.\n\n2. The order of operations (PEMDAS/BODMAS) tells us to do multiplication before subtraction.\n\n3. Calculate the multiplication part first: $$7 \times \frac{1}{2} = \frac{7}{2}$$\n\n4. Now substitute back into the expression: $$7 - \frac{7}{2}$$\n\n5. To subtract, express 7 as a fraction with denominator 2: $$7 = \frac{14}{2}$$\n\n6. Now subtract: $$\frac{14}{2} - \frac{7}{2} = \frac{14 - 7}{2} = \frac{7}{2}$$\n\n7. The final answer is $$\frac{7}{2}$$ or 3.5 in decimal form.