How to Find Fractions Equivalent to 8/26
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
8 × 2 = 16 and 26 × 2 = 52.
3. Verify the ratio
8 × 52 and 26 × 16 both equal 416.
Direct answer
16/52, 24/78, and 32/104 are equivalent to 8/26.
Enter whole-number numerator and denominator values. Results update instantly.
4/13
0.307692…
30.769231%
16/52 · 24/78 · 32/104
Use the same non-zero number for both terms; start with 2.
8 × 2 = 16 and 26 × 2 = 52.
8 × 52 and 26 × 16 both equal 416.
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 | (8 × 2) / (26 × 2) | 16/52 | 8 × 52 = 26 × 16 |
| × 3 | (8 × 3) / (26 × 3) | 24/78 | 8 × 78 = 26 × 24 |
| × 4 | (8 × 4) / (26 × 4) | 32/104 | 8 × 104 = 26 × 32 |
| × 5 | (8 × 5) / (26 × 5) | 40/130 | 8 × 130 = 26 × 40 |
| × 6 | (8 × 6) / (26 × 6) | 48/156 | 8 × 156 = 26 × 48 |
| × 7 | (8 × 7) / (26 × 7) | 56/182 | 8 × 182 = 26 × 56 |
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.
16/52 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 4/13.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
8/26 equals 0.307692… as a decimal and 30.769231% as a percentage.