How to Find Fractions Equivalent to 4/10
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
4 × 2 = 8 and 10 × 2 = 20.
3. Verify the ratio
4 × 20 and 10 × 8 both equal 80.
Direct answer
8/20, 12/30, and 16/40 are equivalent to 4/10.
Enter whole-number numerator and denominator values. Results update instantly.
2/5
0.4
40%
8/20 · 12/30 · 16/40
Use the same non-zero number for both terms; start with 2.
4 × 2 = 8 and 10 × 2 = 20.
4 × 20 and 10 × 8 both equal 80.
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 | (4 × 2) / (10 × 2) | 8/20 | 4 × 20 = 10 × 8 |
| × 3 | (4 × 3) / (10 × 3) | 12/30 | 4 × 30 = 10 × 12 |
| × 4 | (4 × 4) / (10 × 4) | 16/40 | 4 × 40 = 10 × 16 |
| × 5 | (4 × 5) / (10 × 5) | 20/50 | 4 × 50 = 10 × 20 |
| × 6 | (4 × 6) / (10 × 6) | 24/60 | 4 × 60 = 10 × 24 |
| × 7 | (4 × 7) / (10 × 7) | 28/70 | 4 × 70 = 10 × 28 |
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.
8/20 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 2/5.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
4/10 equals 0.4 as a decimal and 40% as a percentage.