How to Find Fractions Equivalent to 26/30
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
26 × 2 = 52 and 30 × 2 = 60.
3. Verify the ratio
26 × 60 and 30 × 52 both equal 1560.
Direct answer
52/60, 78/90, and 104/120 are equivalent to 26/30.
Enter whole-number numerator and denominator values. Results update instantly.
13/15
0.866667…
86.666667%
52/60 · 78/90 · 104/120
Use the same non-zero number for both terms; start with 2.
26 × 2 = 52 and 30 × 2 = 60.
26 × 60 and 30 × 52 both equal 1560.
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 | (26 × 2) / (30 × 2) | 52/60 | 26 × 60 = 30 × 52 |
| × 3 | (26 × 3) / (30 × 3) | 78/90 | 26 × 90 = 30 × 78 |
| × 4 | (26 × 4) / (30 × 4) | 104/120 | 26 × 120 = 30 × 104 |
| × 5 | (26 × 5) / (30 × 5) | 130/150 | 26 × 150 = 30 × 130 |
| × 6 | (26 × 6) / (30 × 6) | 156/180 | 26 × 180 = 30 × 156 |
| × 7 | (26 × 7) / (30 × 7) | 182/210 | 26 × 210 = 30 × 182 |
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.
52/60 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 13/15.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
26/30 equals 0.866667… as a decimal and 86.666667% as a percentage.