How to Find Fractions Equivalent to 12/27
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
12 × 2 = 24 and 27 × 2 = 54.
3. Verify the ratio
12 × 54 and 27 × 24 both equal 648.
Direct answer
24/54, 36/81, and 48/108 are equivalent to 12/27.
Enter whole-number numerator and denominator values. Results update instantly.
4/9
0.444444…
44.444444%
24/54 · 36/81 · 48/108
Use the same non-zero number for both terms; start with 2.
12 × 2 = 24 and 27 × 2 = 54.
12 × 54 and 27 × 24 both equal 648.
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 | (12 × 2) / (27 × 2) | 24/54 | 12 × 54 = 27 × 24 |
| × 3 | (12 × 3) / (27 × 3) | 36/81 | 12 × 81 = 27 × 36 |
| × 4 | (12 × 4) / (27 × 4) | 48/108 | 12 × 108 = 27 × 48 |
| × 5 | (12 × 5) / (27 × 5) | 60/135 | 12 × 135 = 27 × 60 |
| × 6 | (12 × 6) / (27 × 6) | 72/162 | 12 × 162 = 27 × 72 |
| × 7 | (12 × 7) / (27 × 7) | 84/189 | 12 × 189 = 27 × 84 |
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.
24/54 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 4/9.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
12/27 equals 0.444444… as a decimal and 44.444444% as a percentage.