Equivalent Fractions
Find equivalent fractions for any fraction. Generate fractions with the same value.
Find equivalent fractions for any fraction. Enter a fraction and see a list of equivalent fractions with step-by-step explanation.
generateequivalents
Quick examples:
How to Use
- Enter the numerator and denominator
- Set how many equivalents to generate
- Click "Find Equivalents"
- View the list of equivalent fractions
What is Equivalent Fractions?
Equivalent fractions are different fractions that represent the same value. For example, 1/2, 2/4, and 3/6 are all equivalent because they all equal 0.5. You create equivalent fractions by multiplying or dividing both parts by the same number.
Formula
To Find Equivalent Fractions:
Multiply numerator and denominator by the same number
a/b = (a×n)/(b×n) for any n ≠ 0
Example: 1/2 = 2/4 = 3/6 = 4/8 = ...
Examples
- 1/2: 2/4, 3/6, 4/8, 5/10...
- 2/3: 4/6, 6/9, 8/12, 10/15...
- 3/4: 6/8, 9/12, 12/16, 15/20...
FAQ
How can I check if two fractions are equivalent?
Cross-multiply: if a/b and c/d are equivalent, then a×d = b×c. Or simplify both fractions - if they reduce to the same fraction, they're equivalent.
Why are equivalent fractions useful?
They help when adding/subtracting fractions (finding common denominators), comparing fractions, and solving proportions. They're essential in cooking, construction, and many real-world applications.
Is there a 'simplest' equivalent fraction?
Yes! The simplest form is when the numerator and denominator have no common factors other than 1. For example, 1/2 is the simplest form of 2/4, 3/6, etc.