Converting Between Percentages, Decimals, and Fractions

Learn number conversion with step-by-step examples, calculators, and an interactive quiz to test your skills."

Percentage
%
Decimal
0.0
Fraction
a/b

🔢 Conversion Rules and Methods

Quick Reference

Percentage ↔ Decimal: ÷ or × 100
Fraction → Decimal: Numerator ÷ Denominator
Decimal → Fraction: Place over power of 10 & simplify

💡 Quick Tip: Remember that percent means "per hundred" - so 25% literally means 25 per 100, or 25/100!
Percentage to Decimal

Rule: Divide by 100 (move decimal 2 places left)

Example 1: 75% = 75 ÷ 100 = 0.75
Example 2: 12.5% = 12.5 ÷ 100 = 0.125
✅ Key: Move decimal LEFT 2 places
Decimal to Percentage

Rule: Multiply by 100 (move decimal 2 places right)

Example 1: 0.45 = 0.45 × 100 = 45%
Example 2: 0.08 = 0.08 × 100 = 8%
✅ Key: Move decimal RIGHT 2 places
Fraction to Decimal

Rule: Divide numerator by denominator

Example 1: 3/4 = 3 ÷ 4 = 0.75
Example 2: 5/8 = 5 ÷ 8 = 0.625
✅ Key: Top ÷ Bottom
Decimal to Fraction

Rule: Write over power of 10, then simplify

Example 1: 0.5 = 5/10 = 1/2
Example 2: 0.75 = 75/100 = 3/4
✅ Key: Count decimal places
Percentage to Fraction

Rule: Write over 100, then simplify

Example 1: 25% = 25/100 = 1/4
Example 2: 60% = 60/100 = 3/5
✅ Key: Percent over 100
Fraction to Percentage

Rule: Convert to decimal, then multiply by 100

Example 1: 1/5 = 0.2 = 20%
Example 2: 3/8 = 0.375 = 37.5%
✅ Key: Two-step process

🧮 Interactive Converters

Practice with your own numbers using these converters!

Percentage to Decimal

Decimal to Percentage

Fraction to Decimal

Fraction to Percentage

📋 Quick Reference Table

Fraction Decimal Percentage
1/2 0.5 50%
1/3 0.333... 33.33%
1/4 0.25 25%
3/4 0.75 75%
1/5 0.2 20%
2/5 0.4 40%
3/5 0.6 60%
4/5 0.8 80%
1/8 0.125 12.5%
3/8 0.375 37.5%
5/8 0.625 62.5%
7/8 0.875 87.5%
1/10 0.1 10%

📊 Test Your Knowledge!

1. Convert 0.35 to a percentage
A) 3.5%
B) 35%
C) 350%
D) 0.35%
2. Convert 3/4 to a decimal
A) 0.34
B) 0.25
C) 0.75
D) 1.33
3. Convert 40% to a simplified fraction
A) 4/10
B) 2/5
C) 40/10
D) 1/4
4. Convert 0.125 to a percentage
A) 12.5%
B) 125%
C) 1.25%
D) 0.125%
5. Convert 1/5 to a percentage
A) 5%
B) 15%
C) 20%
D) 25%