How to Find Fractions Equivalent to 6/26
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
6 × 2 = 12 and 26 × 2 = 52.
3. Verify the ratio
6 × 52 and 26 × 12 both equal 312.
Direct answer
12/52, 18/78, and 24/104 are equivalent to 6/26.
Enter whole-number numerator and denominator values. Results update instantly.
3/13
0.230769…
23.076923%
12/52 · 18/78 · 24/104
Use the same non-zero number for both terms; start with 2.
6 × 2 = 12 and 26 × 2 = 52.
6 × 52 and 26 × 12 both equal 312.
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) / (26 × 2) | 12/52 | 6 × 52 = 26 × 12 |
| × 3 | (6 × 3) / (26 × 3) | 18/78 | 6 × 78 = 26 × 18 |
| × 4 | (6 × 4) / (26 × 4) | 24/104 | 6 × 104 = 26 × 24 |
| × 5 | (6 × 5) / (26 × 5) | 30/130 | 6 × 130 = 26 × 30 |
| × 6 | (6 × 6) / (26 × 6) | 36/156 | 6 × 156 = 26 × 36 |
| × 7 | (6 × 7) / (26 × 7) | 42/182 | 6 × 182 = 26 × 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.
12/52 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 3/13.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
6/26 equals 0.230769… as a decimal and 23.076923% as a percentage.