How to Find Fractions Equivalent to 2/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 40 × 2 = 80.
3. Verify the ratio
2 × 80 and 40 × 4 both equal 160.
Direct answer
4/80, 6/120, and 8/160 are equivalent to 2/40.
Enter whole-number numerator and denominator values. Results update instantly.
1/20
0.05
5%
4/80 · 6/120 · 8/160
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 40 × 2 = 80.
2 × 80 and 40 × 4 both equal 160.
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) / (40 × 2) | 4/80 | 2 × 80 = 40 × 4 |
| × 3 | (2 × 3) / (40 × 3) | 6/120 | 2 × 120 = 40 × 6 |
| × 4 | (2 × 4) / (40 × 4) | 8/160 | 2 × 160 = 40 × 8 |
| × 5 | (2 × 5) / (40 × 5) | 10/200 | 2 × 200 = 40 × 10 |
| × 6 | (2 × 6) / (40 × 6) | 12/240 | 2 × 240 = 40 × 12 |
| × 7 | (2 × 7) / (40 × 7) | 14/280 | 2 × 280 = 40 × 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.
4/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 1/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
2/40 equals 0.05 as a decimal and 5% as a percentage.