How to Find Fractions Equivalent to 13/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
13 × 2 = 26 and 40 × 2 = 80.
3. Verify the ratio
13 × 80 and 40 × 26 both equal 1040.
Direct answer
26/80, 39/120, and 52/160 are equivalent to 13/40.
Enter whole-number numerator and denominator values. Results update instantly.
13/40
0.325
32.5%
26/80 · 39/120 · 52/160
Use the same non-zero number for both terms; start with 2.
13 × 2 = 26 and 40 × 2 = 80.
13 × 80 and 40 × 26 both equal 1040.
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) / (40 × 2) | 26/80 | 13 × 80 = 40 × 26 |
| × 3 | (13 × 3) / (40 × 3) | 39/120 | 13 × 120 = 40 × 39 |
| × 4 | (13 × 4) / (40 × 4) | 52/160 | 13 × 160 = 40 × 52 |
| × 5 | (13 × 5) / (40 × 5) | 65/200 | 13 × 200 = 40 × 65 |
| × 6 | (13 × 6) / (40 × 6) | 78/240 | 13 × 240 = 40 × 78 |
| × 7 | (13 × 7) / (40 × 7) | 91/280 | 13 × 280 = 40 × 91 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
26/80 is one equivalent fraction because both terms were multiplied by 2.
Yes. 13/40 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.
13/40 equals 0.325 as a decimal and 32.5% as a percentage.