How to Find Fractions Equivalent to 8/13
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
8 × 2 = 16 and 13 × 2 = 26.
3. Verify the ratio
8 × 26 and 13 × 16 both equal 208.
Direct answer
16/26, 24/39, and 32/52 are equivalent to 8/13.
Enter whole-number numerator and denominator values. Results update instantly.
8/13
0.615385…
61.538462%
16/26 · 24/39 · 32/52
Use the same non-zero number for both terms; start with 2.
8 × 2 = 16 and 13 × 2 = 26.
8 × 26 and 13 × 16 both equal 208.
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 | (8 × 2) / (13 × 2) | 16/26 | 8 × 26 = 13 × 16 |
| × 3 | (8 × 3) / (13 × 3) | 24/39 | 8 × 39 = 13 × 24 |
| × 4 | (8 × 4) / (13 × 4) | 32/52 | 8 × 52 = 13 × 32 |
| × 5 | (8 × 5) / (13 × 5) | 40/65 | 8 × 65 = 13 × 40 |
| × 6 | (8 × 6) / (13 × 6) | 48/78 | 8 × 78 = 13 × 48 |
| × 7 | (8 × 7) / (13 × 7) | 56/91 | 8 × 91 = 13 × 56 |
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.
16/26 is one equivalent fraction because both terms were multiplied by 2.
Yes. 8/13 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.
8/13 equals 0.615385… as a decimal and 61.538462% as a percentage.