How to Find Fractions Equivalent to 2/10
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 10 × 2 = 20.
3. Verify the ratio
2 × 20 and 10 × 4 both equal 40.
Direct answer
4/20, 6/30, and 8/40 are equivalent to 2/10.
Enter whole-number numerator and denominator values. Results update instantly.
1/5
0.2
20%
4/20 · 6/30 · 8/40
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 10 × 2 = 20.
2 × 20 and 10 × 4 both equal 40.
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 | (2 × 2) / (10 × 2) | 4/20 | 2 × 20 = 10 × 4 |
| × 3 | (2 × 3) / (10 × 3) | 6/30 | 2 × 30 = 10 × 6 |
| × 4 | (2 × 4) / (10 × 4) | 8/40 | 2 × 40 = 10 × 8 |
| × 5 | (2 × 5) / (10 × 5) | 10/50 | 2 × 50 = 10 × 10 |
| × 6 | (2 × 6) / (10 × 6) | 12/60 | 2 × 60 = 10 × 12 |
| × 7 | (2 × 7) / (10 × 7) | 14/70 | 2 × 70 = 10 × 14 |
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.
4/20 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 1/5.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
2/10 equals 0.2 as a decimal and 20% as a percentage.