How to Find Fractions Equivalent to 2/15
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 15 × 2 = 30.
3. Verify the ratio
2 × 30 and 15 × 4 both equal 60.
Direct answer
4/30, 6/45, and 8/60 are equivalent to 2/15.
Enter whole-number numerator and denominator values. Results update instantly.
2/15
0.133333…
13.333333%
4/30 · 6/45 · 8/60
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 15 × 2 = 30.
2 × 30 and 15 × 4 both equal 60.
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 | (2 × 2) / (15 × 2) | 4/30 | 2 × 30 = 15 × 4 |
| × 3 | (2 × 3) / (15 × 3) | 6/45 | 2 × 45 = 15 × 6 |
| × 4 | (2 × 4) / (15 × 4) | 8/60 | 2 × 60 = 15 × 8 |
| × 5 | (2 × 5) / (15 × 5) | 10/75 | 2 × 75 = 15 × 10 |
| × 6 | (2 × 6) / (15 × 6) | 12/90 | 2 × 90 = 15 × 12 |
| × 7 | (2 × 7) / (15 × 7) | 14/105 | 2 × 105 = 15 × 14 |
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.
4/30 is one equivalent fraction because both terms were multiplied by 2.
Yes. 2/15 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.
2/15 equals 0.133333… as a decimal and 13.333333% as a percentage.