How to Find Fractions Equivalent to 6/27
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
6 × 2 = 12 and 27 × 2 = 54.
3. Verify the ratio
6 × 54 and 27 × 12 both equal 324.
Direct answer
12/54, 18/81, and 24/108 are equivalent to 6/27.
Enter whole-number numerator and denominator values. Results update instantly.
2/9
0.222222…
22.222222%
12/54 · 18/81 · 24/108
Use the same non-zero number for both terms; start with 2.
6 × 2 = 12 and 27 × 2 = 54.
6 × 54 and 27 × 12 both equal 324.
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 | (6 × 2) / (27 × 2) | 12/54 | 6 × 54 = 27 × 12 |
| × 3 | (6 × 3) / (27 × 3) | 18/81 | 6 × 81 = 27 × 18 |
| × 4 | (6 × 4) / (27 × 4) | 24/108 | 6 × 108 = 27 × 24 |
| × 5 | (6 × 5) / (27 × 5) | 30/135 | 6 × 135 = 27 × 30 |
| × 6 | (6 × 6) / (27 × 6) | 36/162 | 6 × 162 = 27 × 36 |
| × 7 | (6 × 7) / (27 × 7) | 42/189 | 6 × 189 = 27 × 42 |
Because the numerator and denominator share a factor, this example is especially useful for practicing reduction before conversion.
Learning tip: Simplify first to make the decimal division and equivalence check easier.
12/54 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 2/9.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
6/27 equals 0.222222… as a decimal and 22.222222% as a percentage.