Understanding the Expression
To solve the expression (16(3/2)) ÷ (16(1/2)), we need to simplify both the numerator and the denominator.
Numerator Calculation
- Start with 16(3/2):
- 16 multiplied by 3/2
- This equals 16 * 1.5 = 24
Denominator Calculation
- Now, calculate the denominator 16(1/2):
- 16 multiplied by 1/2
- This equals 16 * 0.5 = 8
Putting It All Together
- We now have the simplified expression:
- 24 ÷ 8
Final Division
- Perform the division:
- 24 divided by 8 equals 3
Finding the Correct Answer
However, it seems there might be a discrepancy with the options. Let's double-check the values:
1. Numerator:
- 16(3/2) = 16 * 1.5 = 24
2. Denominator:
- 16(1/2) = 16 * 0.5 = 8
3. Final Calculation:
- 24 ÷ 8 = 3
The correct answer should be 3 based on this calculation. However, if we misunderstood the original expressions or if the options provided are incorrect, the expected answer might differ.
In conclusion, based on the calculations provided, the expression evaluates to 3, not 16. The confusion might arise from misinterpretation or transcription errors. Always ensure to double-check each step to avoid mistakes in mathematical operations.