Equivalent Fractions Calculator
Find equivalent fractions, simplify to lowest terms, and discover equal fractions with step-by-step explanations and visual models.
Enter Fraction
Common Fractions
1/2
0.5
50%
1/3
0.333...
33.33%
1/4
0.25
25%
2/3
0.666...
66.67%
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%
Fraction Formulas
Equivalent Fractions: a/b = (a×k)/(b×k)
Simplification: a/b = (a÷GCD)/(b÷GCD)
Cross Multiplication: a/b = c/d if a×d = b×c
Mixed Number: a/b = (a÷b) remainder (a%b)/b
Understanding Equivalent Fractions
Equivalent fractions are different fractions that represent the same value or amount. They are fundamental to understanding fraction operations, comparing fractions, and solving real-world problems involving parts and wholes.
Key Concepts:
- Same Value: Equivalent fractions have identical decimal and percentage values
- Scaling: Created by multiplying or dividing both parts by the same number
- Simplification: Reducing to lowest terms using the Greatest Common Divisor
- Cross Multiplication: Method to verify if two fractions are equivalent
Finding Equivalent Fractions:
- Multiply Both Parts: 1/2 × 3/3 = 3/6 (equivalent fractions)
- Divide Both Parts: 6/8 ÷ 2/2 = 3/4 (simplifying)
- Use GCD: Find the largest common factor to simplify completely
- Generate Series: Multiply by 2, 3, 4, etc. to create equivalent fractions
Real-World Applications:
- Cooking: Converting recipe measurements (1/2 cup = 2/4 cup = 4/8 cup)
- Money: Understanding parts of a dollar (1/4 = 25¢, 2/8 = 25¢)
- Time: Expressing time fractions (1/2 hour = 30/60 minutes)
- Measurements: Converting between units and expressing precision
- Percentages: Converting fractions to percentages for comparison
Problem-Solving Strategies:
- Always simplify fractions to their lowest terms for easier comparison
- Use visual models to understand fraction relationships
- Practice cross multiplication to verify equivalent fractions
- Convert to decimals when comparing multiple fractions
- Understand that equivalent fractions represent the same point on a number line
Frequently Asked Questions - Equivalent Fractions Calculator
Equivalent fractions are fractions that represent the same value but have different numerators and denominators. For example, 1/2, 2/4, and 3/6 are all equivalent because they all equal 0.5.
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.