How to Find Fractions Equivalent to 3/20
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 20 × 2 = 40.
3. Verify the ratio
3 × 40 and 20 × 6 both equal 120.
Direct answer
6/40, 9/60, and 12/80 are equivalent to 3/20.
Enter whole-number numerator and denominator values. Results update instantly.
3/20
0.15
15%
6/40 · 9/60 · 12/80
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 20 × 2 = 40.
3 × 40 and 20 × 6 both equal 120.
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 | (3 × 2) / (20 × 2) | 6/40 | 3 × 40 = 20 × 6 |
| × 3 | (3 × 3) / (20 × 3) | 9/60 | 3 × 60 = 20 × 9 |
| × 4 | (3 × 4) / (20 × 4) | 12/80 | 3 × 80 = 20 × 12 |
| × 5 | (3 × 5) / (20 × 5) | 15/100 | 3 × 100 = 20 × 15 |
| × 6 | (3 × 6) / (20 × 6) | 18/120 | 3 × 120 = 20 × 18 |
| × 7 | (3 × 7) / (20 × 7) | 21/140 | 3 × 140 = 20 × 21 |
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.
6/40 is one equivalent fraction because both terms were multiplied by 2.
Yes. 3/20 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.
3/20 equals 0.15 as a decimal and 15% as a percentage.