Short Answer 
To find 3 1/4 of 16, first convert the mixed number into an improper fraction to get 13/4. Multiplying this by 16 results in 52, which is not among the given options.
Step 1: Convert Mixed Number to Improper Fraction
To start, you need to change the mixed number 3 1/4 into an improper fraction. This involves multiplying the whole number part (3) by the denominator (4) and then adding the numerator (1). The formula is:
- Numerator = (Whole Number ‚à öo Denominator) + Numerator
- Result = (3 ‚à öo 4) + 1 = 12 + 1 = 13
The final improper fraction is 13/4.
Step 2: Multiply the Improper Fraction by 16
Next, you take the improper fraction 13/4 and multiply it by 16. This step combines fractions with whole numbers, making it easier to understand.
- Multiply: (13/4) ‚à öo 16
- Convert 16 to a fraction: 16 can be written as 16/1.
- Now, you multiply: (13 ‚à öo 16) / (4 ‚à öo 1) = 208 / 4
This simplifies to 52.
Step 3: Conclude the Result
Finally, after multiplying, you find that 3 1/4 of 16 equals 52. It’s important to check your options since this result might not match given choices, such as a. 7, b. 16, or c. 39.
- Result: 3 1/4 of 16 = 52
- Verification: Ensure the result aligns with the problem’s requirements.
- Conclusion: Your answer is 52, which is excluded from the options provided.