1. The problem asks to find 46 percent of the mixed number 2 whole 1 over 2. 2. Convert the mixed number to an improper fraction: $$2 \ \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{5}{2}$$. 3. Convert 46 percent to decimal form: $$46\% = \frac{46}{100} = 0.46$$. 4. Multiply the decimal by the improper fraction: $$0.46 \times \frac{5}{2} = \frac{0.46 \times 5}{2} = \frac{2.3}{2} = 1.15$$. 5. So, 46 percent of 2\frac{1}{2} is equal to 1.15.