How to Find Fractions Equivalent to 13/20
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
13 × 2 = 26 and 20 × 2 = 40.
3. Verify the ratio
13 × 40 and 20 × 26 both equal 520.
Direct answer
26/40, 39/60, and 52/80 are equivalent to 13/20.
Enter whole-number numerator and denominator values. Results update instantly.
13/20
0.65
65%
26/40 · 39/60 · 52/80
Use the same non-zero number for both terms; start with 2.
13 × 2 = 26 and 20 × 2 = 40.
13 × 40 and 20 × 26 both equal 520.
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 | (13 × 2) / (20 × 2) | 26/40 | 13 × 40 = 20 × 26 |
| × 3 | (13 × 3) / (20 × 3) | 39/60 | 13 × 60 = 20 × 39 |
| × 4 | (13 × 4) / (20 × 4) | 52/80 | 13 × 80 = 20 × 52 |
| × 5 | (13 × 5) / (20 × 5) | 65/100 | 13 × 100 = 20 × 65 |
| × 6 | (13 × 6) / (20 × 6) | 78/120 | 13 × 120 = 20 × 78 |
| × 7 | (13 × 7) / (20 × 7) | 91/140 | 13 × 140 = 20 × 91 |
This fraction converts to a familiar benchmark percentage, which helps with estimation, discounts, grades, and progress tracking.
Learning tip: Memorize common benchmark fractions so you can estimate an answer before calculating.
26/40 is one equivalent fraction because both terms were multiplied by 2.
Yes. 13/20 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
13/20 equals 0.65 as a decimal and 65% as a percentage.