How to Find Fractions Equivalent to 26/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
26 × 2 = 52 and 40 × 2 = 80.
3. Verify the ratio
26 × 80 and 40 × 52 both equal 2080.
Direct answer
52/80, 78/120, and 104/160 are equivalent to 26/40.
Enter whole-number numerator and denominator values. Results update instantly.
13/20
0.65
65%
52/80 · 78/120 · 104/160
Use the same non-zero number for both terms; start with 2.
26 × 2 = 52 and 40 × 2 = 80.
26 × 80 and 40 × 52 both equal 2080.
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) / (40 × 2) | 52/80 | 26 × 80 = 40 × 52 |
| × 3 | (26 × 3) / (40 × 3) | 78/120 | 26 × 120 = 40 × 78 |
| × 4 | (26 × 4) / (40 × 4) | 104/160 | 26 × 160 = 40 × 104 |
| × 5 | (26 × 5) / (40 × 5) | 130/200 | 26 × 200 = 40 × 130 |
| × 6 | (26 × 6) / (40 × 6) | 156/240 | 26 × 240 = 40 × 156 |
| × 7 | (26 × 7) / (40 × 7) | 182/280 | 26 × 280 = 40 × 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.
52/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 13/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
26/40 equals 0.65 as a decimal and 65% as a percentage.