Equivalent Fractions Calculator
Enter any fraction to generate a table of equivalent fractions and find the simplest (reduced) form.
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Simplest Form
1/2
Already simplified
Equivalent Fractions (multiplying numerator and denominator by the same number)
| Multiplier | Fraction | Decimal |
|---|---|---|
| ×1 (simplified) | 1/2 | 0.5 |
| ×2 | 2/4 | 0.5 |
| ×3 | 3/6 | 0.5 |
| ×4 | 4/8 | 0.5 |
| ×5 | 5/10 | 0.5 |
| ×6 | 6/12 | 0.5 |
| ×7 | 7/14 | 0.5 |
| ×8 | 8/16 | 0.5 |
| ×9 | 9/18 | 0.5 |
| ×10 | 10/20 | 0.5 |
What Are Equivalent Fractions?
Equivalent fractions are fractions that represent the same value, even though they look different. For example, 1/2, 2/4, 3/6, and 4/8 are all equivalent — they all equal 0.5.
You can create equivalent fractions by multiplying or dividing both the numerator and denominator by the same non-zero number. This does not change the value of the fraction.
How to Simplify a Fraction
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by it. For example, to simplify 6/8: GCD(6, 8) = 2, so 6/8 = (6÷2)/(8÷2) = 3/4.
Common Equivalent Fraction Tables
| Fraction | ×2 | ×3 | ×4 | ×5 |
|---|---|---|---|---|
| 1/2 | 2/4 | 3/6 | 4/8 | 5/10 |
| 1/3 | 2/6 | 3/9 | 4/12 | 5/15 |
| 2/3 | 4/6 | 6/9 | 8/12 | 10/15 |
| 1/4 | 2/8 | 3/12 | 4/16 | 5/20 |
| 3/4 | 6/8 | 9/12 | 12/16 | 15/20 |
| 1/5 | 2/10 | 3/15 | 4/20 | 5/25 |