Convert Fraction to Percentage: Finding the Approximate Value of 15/61

Question

Approximately what is 1561 \frac{15}{61} written as a percentage?

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Compute the decimal representation of the fraction 1561\frac{15}{61}.
  • Step 2: Convert the decimal to a percentage.
  • Step 3: Compare the result with the provided answer choices.

Now, let's work through each step:
Step 1: Calculate 1561\frac{15}{61} by performing the division: 15610.2459 \frac{15}{61} \approx 0.2459 .
Step 2: Convert the decimal to a percentage by multiplying by 100: 0.2459×10024.59% 0.2459 \times 100 \approx 24.59\% .
Step 3: Compare 24.59% with the answer choices. The closest percentage is 25%.

Therefore, the approximate percentage representation of 1561\frac{15}{61} is 25%.

Answer

25%