Convert the Fraction 25/75 to a Percentage

Question

Calculate 25 over 75 as a percentage:

Video Solution

Solution Steps

00:00 Calculate 25 as a percentage of 75
00:03 In order to determine what percentage one number is of another
00:08 Divide the number by the second number, and multiply by 100
00:16 Break down 75 into factors of 25 and 3
00:21 Simplify wherever possible
00:30 This is the solution

Step-by-Step Solution

To convert the fraction 2575 \frac{25}{75} to a percentage, we follow these steps:

  • Step 1: Identify the given fraction, which is 2575\frac{25}{75}.
  • Step 2: Simplify the fraction, if possible. Since both 25 and 75 are divisible by 25, simplify to 13\frac{1}{3}.
  • Step 3: Use the percentage conversion formula:
    NumeratorDenominator×100%\frac{\text{Numerator}}{\text{Denominator}} \times 100\%.
  • Step 4: Apply the formula:
    130.3333\frac{1}{3} \approx 0.3333. Multiply by 100 to convert to a percentage: 0.3333×100=33.33%.0.3333 \times 100 = 33.33\%.

Therefore, the solution to the problem is 33.33%.

Answer

33.33%