Calculate the Percentage of 15 Over 336: A Simple Arithmetic Exercise

To solve the problem of finding what percentage 15 is of 336, we will proceed with the following steps:

• Step 1: Calculate the Fraction
  The fraction representing the part-to-whole relationship is $\frac{15}{336}$.

• Step 2: Convert the Fraction to a Percentage
  To express this fraction as a percentage, we multiply it by 100:

• $\frac{15}{336} \times 100 = \frac{15 \times 100}{336}$

• Step 3: Simplify the Expression
  We simplify this fraction by simplifying the multiplication first:

• $\frac{1500}{336}$

• Step 4: Simplify the Fraction Further
  Divide by the greatest common divisor (GCD) to simplify the fraction.

• First, find the GCD of 1500 and 336. Notice:

  • GCD(1500, 336) = 12 (determined through common divisor analysis).

  • Thus, $\frac{1500}{336} = \frac{1500 \div 12}{336 \div 12} = \frac{125}{28}$.

• Step 5: Convert to Mixed Number
  Convert the improper fraction $\frac{125}{28}$ into a mixed number:

• $125 \div 28 = 4 \text{ with a reminder of } 13$

  So, $\frac{125}{28}$ becomes $4\frac{13}{28}$.

• Final Step: Express Result as a Percentage
  Thus, 15 is $4\frac{13}{28}\%$ of 336.

Therefore, the correct answer is $\boxed{4\frac{13}{28}\%}$.