How to Find Fractions Equivalent to 2/13
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 13 × 2 = 26.
3. Verify the ratio
2 × 26 and 13 × 4 both equal 52.
Direct answer
4/26, 6/39, and 8/52 are equivalent to 2/13.
Enter whole-number numerator and denominator values. Results update instantly.
2/13
0.153846…
15.384615%
4/26 · 6/39 · 8/52
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 13 × 2 = 26.
2 × 26 and 13 × 4 both equal 52.
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) / (13 × 2) | 4/26 | 2 × 26 = 13 × 4 |
| × 3 | (2 × 3) / (13 × 3) | 6/39 | 2 × 39 = 13 × 6 |
| × 4 | (2 × 4) / (13 × 4) | 8/52 | 2 × 52 = 13 × 8 |
| × 5 | (2 × 5) / (13 × 5) | 10/65 | 2 × 65 = 13 × 10 |
| × 6 | (2 × 6) / (13 × 6) | 12/78 | 2 × 78 = 13 × 12 |
| × 7 | (2 × 7) / (13 × 7) | 14/91 | 2 × 91 = 13 × 14 |
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.
4/26 is one equivalent fraction because both terms were multiplied by 2.
Yes. 2/13 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
2/13 equals 0.153846… as a decimal and 15.384615% as a percentage.