📊 Converting Percentages to Fractions

Master the reverse process with confidence!

🎯 What You'll Learn

Convert any percentage to a fraction over 100
Simplify fractions by finding the greatest common divisor
Use the complete percentage → fraction → simplified form process
Apply fraction conversions to real-world ratio problems

🔍 Why This Matters

Converting percentages to fractions helps in ratio work, precise calculations without decimals, interpreting test marks and grades, cooking measurements, and understanding proportions in recipes and mixing. Fractions often give more exact answers than decimal approximations!

🧭 Percentage to Fraction Steps

Follow this simple 3-step process to convert any percentage to a fraction:

Start with Percentage

75%

→

Write over 100

75/100

→

Simplify

3/4

Percentage → Fraction over 100 → Simplify

🔧 Interactive Percentage Converter

Enter a percentage and watch it convert to a simplified fraction:

→

Step-by-Step Solution:

✏️ Worked Example: Converting 75% to a Fraction

Given: Convert 75% to a fraction

Step 1: Write the percentage as a fraction over 100

75% = 75/100

Step 2: Find the Greatest Common Divisor (GCD) of 75 and 100

GCD(75, 100) = 25

Step 3: Divide both numerator and denominator by the GCD

75 ÷ 25 = 3, 100 ÷ 25 = 4

Answer: 75% = 3/4

🔢 Quick Practice

Convert these percentages to their simplified fraction equivalents. Choose the correct answer:

20%

40%

33%

60%

12.5%

💪 Practice Exercises

1. Convert 20% to a fraction (format: a/b)

2. Convert 12.5% to a fraction (format: a/b)

3. Convert 60% to a simplified fraction (format: a/b)

⚠️ Common Mistakes

Not simplifying the final answer to its lowest terms
Writing the wrong denominator (should always start with 100)
Confusing the direction - trying to convert fraction to percentage instead
Forgetting to find the GCD when simplifying
Not handling decimal percentages correctly (like 12.5%)

✨ Quick Summary

Converting percentages to fractions follows a clear pattern: Percentage → Fraction over 100 → Simplify. Always start by writing the percentage over 100, then find the Greatest Common Divisor to simplify to lowest terms. This skill helps with ratio work, calculations, and test mark interpretation!