How to Find Fractions Equivalent to 9/13
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
9 × 2 = 18 and 13 × 2 = 26.
3. Verify the ratio
9 × 26 and 13 × 18 both equal 234.
Direct answer
18/26, 27/39, and 36/52 are equivalent to 9/13.
Enter whole-number numerator and denominator values. Results update instantly.
9/13
0.692308…
69.230769%
18/26 · 27/39 · 36/52
Use the same non-zero number for both terms; start with 2.
9 × 2 = 18 and 13 × 2 = 26.
9 × 26 and 13 × 18 both equal 234.
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 | (9 × 2) / (13 × 2) | 18/26 | 9 × 26 = 13 × 18 |
| × 3 | (9 × 3) / (13 × 3) | 27/39 | 9 × 39 = 13 × 27 |
| × 4 | (9 × 4) / (13 × 4) | 36/52 | 9 × 52 = 13 × 36 |
| × 5 | (9 × 5) / (13 × 5) | 45/65 | 9 × 65 = 13 × 45 |
| × 6 | (9 × 6) / (13 × 6) | 54/78 | 9 × 78 = 13 × 54 |
| × 7 | (9 × 7) / (13 × 7) | 63/91 | 9 × 91 = 13 × 63 |
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.
18/26 is one equivalent fraction because both terms were multiplied by 2.
Yes. 9/13 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.
9/13 equals 0.692308… as a decimal and 69.230769% as a percentage.