How to Find Fractions Equivalent to 1/9
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 9 × 2 = 18.
3. Verify the ratio
1 × 18 and 9 × 2 both equal 18.
Direct answer
2/18, 3/27, and 4/36 are equivalent to 1/9.
Enter whole-number numerator and denominator values. Results update instantly.
1/9
0.111111…
11.111111%
2/18 · 3/27 · 4/36
Use the same non-zero number for both terms; start with 2.
1 × 2 = 2 and 9 × 2 = 18.
1 × 18 and 9 × 2 both equal 18.
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 | (1 × 2) / (9 × 2) | 2/18 | 1 × 18 = 9 × 2 |
| × 3 | (1 × 3) / (9 × 3) | 3/27 | 1 × 27 = 9 × 3 |
| × 4 | (1 × 4) / (9 × 4) | 4/36 | 1 × 36 = 9 × 4 |
| × 5 | (1 × 5) / (9 × 5) | 5/45 | 1 × 45 = 9 × 5 |
| × 6 | (1 × 6) / (9 × 6) | 6/54 | 1 × 54 = 9 × 6 |
| × 7 | (1 × 7) / (9 × 7) | 7/63 | 1 × 63 = 9 × 7 |
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.
2/18 is one equivalent fraction because both terms were multiplied by 2.
Yes. 1/9 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.
1/9 equals 0.111111… as a decimal and 11.111111% as a percentage.