How to Find Fractions Equivalent to 7/13
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
7 × 2 = 14 and 13 × 2 = 26.
3. Verify the ratio
7 × 26 and 13 × 14 both equal 182.
Direct answer
14/26, 21/39, and 28/52 are equivalent to 7/13.
Enter whole-number numerator and denominator values. Results update instantly.
7/13
0.538462…
53.846154%
14/26 · 21/39 · 28/52
Use the same non-zero number for both terms; start with 2.
7 × 2 = 14 and 13 × 2 = 26.
7 × 26 and 13 × 14 both equal 182.
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 | (7 × 2) / (13 × 2) | 14/26 | 7 × 26 = 13 × 14 |
| × 3 | (7 × 3) / (13 × 3) | 21/39 | 7 × 39 = 13 × 21 |
| × 4 | (7 × 4) / (13 × 4) | 28/52 | 7 × 52 = 13 × 28 |
| × 5 | (7 × 5) / (13 × 5) | 35/65 | 7 × 65 = 13 × 35 |
| × 6 | (7 × 6) / (13 × 6) | 42/78 | 7 × 78 = 13 × 42 |
| × 7 | (7 × 7) / (13 × 7) | 49/91 | 7 × 91 = 13 × 49 |
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.
14/26 is one equivalent fraction because both terms were multiplied by 2.
Yes. 7/13 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.
7/13 equals 0.538462… as a decimal and 53.846154% as a percentage.