How to Find Fractions Equivalent to 13/17
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
13 × 2 = 26 and 17 × 2 = 34.
3. Verify the ratio
13 × 34 and 17 × 26 both equal 442.
Direct answer
26/34, 39/51, and 52/68 are equivalent to 13/17.
Enter whole-number numerator and denominator values. Results update instantly.
13/17
0.764706…
76.470588%
26/34 · 39/51 · 52/68
Use the same non-zero number for both terms; start with 2.
13 × 2 = 26 and 17 × 2 = 34.
13 × 34 and 17 × 26 both equal 442.
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 | (13 × 2) / (17 × 2) | 26/34 | 13 × 34 = 17 × 26 |
| × 3 | (13 × 3) / (17 × 3) | 39/51 | 13 × 51 = 17 × 39 |
| × 4 | (13 × 4) / (17 × 4) | 52/68 | 13 × 68 = 17 × 52 |
| × 5 | (13 × 5) / (17 × 5) | 65/85 | 13 × 85 = 17 × 65 |
| × 6 | (13 × 6) / (17 × 6) | 78/102 | 13 × 102 = 17 × 78 |
| × 7 | (13 × 7) / (17 × 7) | 91/119 | 13 × 119 = 17 × 91 |
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.
26/34 is one equivalent fraction because both terms were multiplied by 2.
Yes. 13/17 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.
13/17 equals 0.764706… as a decimal and 76.470588% as a percentage.