How to Find Fractions Equivalent to 4/6
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
4 × 2 = 8 and 6 × 2 = 12.
3. Verify the ratio
4 × 12 and 6 × 8 both equal 48.
Direct answer
8/12, 12/18, and 16/24 are equivalent to 4/6.
Enter whole-number numerator and denominator values. Results update instantly.
2/3
0.666667…
66.666667%
8/12 · 12/18 · 16/24
Use the same non-zero number for both terms; start with 2.
4 × 2 = 8 and 6 × 2 = 12.
4 × 12 and 6 × 8 both equal 48.
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) / (6 × 2) | 8/12 | 4 × 12 = 6 × 8 |
| × 3 | (4 × 3) / (6 × 3) | 12/18 | 4 × 18 = 6 × 12 |
| × 4 | (4 × 4) / (6 × 4) | 16/24 | 4 × 24 = 6 × 16 |
| × 5 | (4 × 5) / (6 × 5) | 20/30 | 4 × 30 = 6 × 20 |
| × 6 | (4 × 6) / (6 × 6) | 24/36 | 4 × 36 = 6 × 24 |
| × 7 | (4 × 7) / (6 × 7) | 28/42 | 4 × 42 = 6 × 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.
8/12 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 2/3.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
4/6 equals 0.666667… as a decimal and 66.666667% as a percentage.