How to Find Fractions Equivalent to 12/26
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
12 × 2 = 24 and 26 × 2 = 52.
3. Verify the ratio
12 × 52 and 26 × 24 both equal 624.
Direct answer
24/52, 36/78, and 48/104 are equivalent to 12/26.
Enter whole-number numerator and denominator values. Results update instantly.
6/13
0.461538…
46.153846%
24/52 · 36/78 · 48/104
Use the same non-zero number for both terms; start with 2.
12 × 2 = 24 and 26 × 2 = 52.
12 × 52 and 26 × 24 both equal 624.
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) / (26 × 2) | 24/52 | 12 × 52 = 26 × 24 |
| × 3 | (12 × 3) / (26 × 3) | 36/78 | 12 × 78 = 26 × 36 |
| × 4 | (12 × 4) / (26 × 4) | 48/104 | 12 × 104 = 26 × 48 |
| × 5 | (12 × 5) / (26 × 5) | 60/130 | 12 × 130 = 26 × 60 |
| × 6 | (12 × 6) / (26 × 6) | 72/156 | 12 × 156 = 26 × 72 |
| × 7 | (12 × 7) / (26 × 7) | 84/182 | 12 × 182 = 26 × 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.
24/52 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 6/13.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
12/26 equals 0.461538… as a decimal and 46.153846% as a percentage.