Convert the Fraction 25/75 to a Percentage

Calculate 25 over 75 as a percentage:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 25 over 75 as a percentage:

2

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%.

3

Final Answer

33.33%

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations