How to Find Fractions Equivalent to 1/27
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 27 × 2 = 54.
3. Verify the ratio
1 × 54 and 27 × 2 both equal 54.
Direct answer
2/54, 3/81, and 4/108 are equivalent to 1/27.
Enter whole-number numerator and denominator values. Results update instantly.
1/27
0.037037…
3.703704%
2/54 · 3/81 · 4/108
Use the same non-zero number for both terms; start with 2.
1 × 2 = 2 and 27 × 2 = 54.
1 × 54 and 27 × 2 both equal 54.
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) / (27 × 2) | 2/54 | 1 × 54 = 27 × 2 |
| × 3 | (1 × 3) / (27 × 3) | 3/81 | 1 × 81 = 27 × 3 |
| × 4 | (1 × 4) / (27 × 4) | 4/108 | 1 × 108 = 27 × 4 |
| × 5 | (1 × 5) / (27 × 5) | 5/135 | 1 × 135 = 27 × 5 |
| × 6 | (1 × 6) / (27 × 6) | 6/162 | 1 × 162 = 27 × 6 |
| × 7 | (1 × 7) / (27 × 7) | 7/189 | 1 × 189 = 27 × 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.
2/54 is one equivalent fraction because both terms were multiplied by 2.
Yes. 1/27 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.
1/27 equals 0.037037… as a decimal and 3.703704% as a percentage.