How to Find Fractions Equivalent to 2/3
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 3 × 2 = 6.
3. Verify the ratio
2 × 6 and 3 × 4 both equal 12.
What Is Equivalent to 2/3?
Direct answer
4/6, 6/9, and 8/12 are equivalent to 2/3.
Fraction Converter
Enter whole-number numerator and denominator values. Results update instantly.
Simplified
2/3
Decimal
0.666667…
Percent
66.666667%
Equivalent fractions
4/6 · 6/9 · 8/12
Equivalent Fraction Table for 2/3
Multiply the numerator and denominator by the same non-zero whole number. The written numbers change, but the ratio stays equal.
| Multiplier | Calculation | Equivalent fraction | Cross-product check |
|---|---|---|---|
| × 2 | (2 × 2) / (3 × 2) | 4/6 | 2 × 6 = 3 × 4 |
| × 3 | (2 × 3) / (3 × 3) | 6/9 | 2 × 9 = 3 × 6 |
| × 4 | (2 × 4) / (3 × 4) | 8/12 | 2 × 12 = 3 × 8 |
| × 5 | (2 × 5) / (3 × 5) | 10/15 | 2 × 15 = 3 × 10 |
| × 6 | (2 × 6) / (3 × 6) | 12/18 | 2 × 18 = 3 × 12 |
| × 7 | (2 × 7) / (3 × 7) | 14/21 | 2 × 21 = 3 × 14 |
Where 2/3 Appears
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
Compare Every Form
- Fraction2/3
- Simplified fraction2/3
- Decimal0.666667…
- Percent66.666667%
Related Fraction Guides
Frequently Asked Questions
What fraction is equivalent to 2/3?
4/6 is one equivalent fraction because both terms were multiplied by 2.
Is 2/3 already simplified?
Yes. 2/3 is in lowest terms because its terms share no factor greater than 1.
How can I check an equivalent fraction for 2/3?
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
What are the decimal and percent forms of 2/3?
2/3 equals 0.666667… as a decimal and 66.666667% as a percentage.