How to Find Fractions Equivalent to 13/15
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
13 × 2 = 26 and 15 × 2 = 30.
3. Verify the ratio
13 × 30 and 15 × 26 both equal 390.
Direct answer
26/30, 39/45, and 52/60 are equivalent to 13/15.
Enter whole-number numerator and denominator values. Results update instantly.
13/15
0.866667…
86.666667%
26/30 · 39/45 · 52/60
Use the same non-zero number for both terms; start with 2.
13 × 2 = 26 and 15 × 2 = 30.
13 × 30 and 15 × 26 both equal 390.
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) / (15 × 2) | 26/30 | 13 × 30 = 15 × 26 |
| × 3 | (13 × 3) / (15 × 3) | 39/45 | 13 × 45 = 15 × 39 |
| × 4 | (13 × 4) / (15 × 4) | 52/60 | 13 × 60 = 15 × 52 |
| × 5 | (13 × 5) / (15 × 5) | 65/75 | 13 × 75 = 15 × 65 |
| × 6 | (13 × 6) / (15 × 6) | 78/90 | 13 × 90 = 15 × 78 |
| × 7 | (13 × 7) / (15 × 7) | 91/105 | 13 × 105 = 15 × 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.
26/30 is one equivalent fraction because both terms were multiplied by 2.
Yes. 13/15 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.
13/15 equals 0.866667… as a decimal and 86.666667% as a percentage.