← Section 2 Chapter 22: Fractions and Decimals Equivalence Chapter 23 →

↔️ Fractions and Decimals Equivalence

Two ways to show the same value!

✏️ Explanation

Fractions and decimals can show the same value. To convert from fraction to decimal: divide the numerator by the denominator.
🔄 Interactive Fraction ↔ Decimal Converter
Fraction
Decimal
1
To convert ¾ to decimal: 3 ÷ 4 = 0.75

🔍 Why It Matters

Helps with comparing values, calculations, and changing units. Whether you're cooking (½ cup = 0.5 cups), measuring distances, or working with money, knowing both forms gives you flexibility in problem-solving.
1
Start with Fraction
¾
2
Identify Parts
3 = numerator, 4 = denominator
3
Divide
3 ÷ 4
4
Get Decimal
0.75

✏️ Worked Example

Convert ¾ to a decimal
Step 1: Identify the numerator (top number) = 3
Step 2: Identify the denominator (bottom number) = 4
Step 3: Divide: 3 ÷ 4 = 0.75
Answer: ¾ = 0.75
🎯 Match the Equivalents!
Fractions
½
¼
¾
Decimals
0.75
0.5
0.2
0.25

🔢 Practice Exercises

1. What is the decimal equivalent of 1/2?
2. What is the decimal equivalent of 2/5?
3. What is the decimal equivalent of 1/8?
4. Which fraction is equivalent to 0.2?
5. Which simplified fraction is equivalent to 0.625?

⚠️ Common Mistakes

  • Dividing denominator by numerator (wrong way around)
  • Forgetting to simplify the fraction when converting from decimal

✨ Quick Summary

Fractions and decimals often describe the same thing—know how to switch between them.