How to Find Fractions Equivalent to 1/5
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 5 × 2 = 10.
3. Verify the ratio
1 × 10 and 5 × 2 both equal 10.
Direct answer
2/10, 3/15, and 4/20 are equivalent to 1/5.
Enter whole-number numerator and denominator values. Results update instantly.
1/5
0.2
20%
2/10 · 3/15 · 4/20
Use the same non-zero number for both terms; start with 2.
1 × 2 = 2 and 5 × 2 = 10.
1 × 10 and 5 × 2 both equal 10.
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 | (1 × 2) / (5 × 2) | 2/10 | 1 × 10 = 5 × 2 |
| × 3 | (1 × 3) / (5 × 3) | 3/15 | 1 × 15 = 5 × 3 |
| × 4 | (1 × 4) / (5 × 4) | 4/20 | 1 × 20 = 5 × 4 |
| × 5 | (1 × 5) / (5 × 5) | 5/25 | 1 × 25 = 5 × 5 |
| × 6 | (1 × 6) / (5 × 6) | 6/30 | 1 × 30 = 5 × 6 |
| × 7 | (1 × 7) / (5 × 7) | 7/35 | 1 × 35 = 5 × 7 |
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.
2/10 is one equivalent fraction because both terms were multiplied by 2.
Yes. 1/5 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.
1/5 equals 0.2 as a decimal and 20% as a percentage.