How to Find Fractions Equivalent to 4/12
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
4 × 2 = 8 and 12 × 2 = 24.
3. Verify the ratio
4 × 24 and 12 × 8 both equal 96.
Direct answer
8/24, 12/36, and 16/48 are equivalent to 4/12.
Enter whole-number numerator and denominator values. Results update instantly.
1/3
0.333333…
33.333333%
8/24 · 12/36 · 16/48
Use the same non-zero number for both terms; start with 2.
4 × 2 = 8 and 12 × 2 = 24.
4 × 24 and 12 × 8 both equal 96.
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) / (12 × 2) | 8/24 | 4 × 24 = 12 × 8 |
| × 3 | (4 × 3) / (12 × 3) | 12/36 | 4 × 36 = 12 × 12 |
| × 4 | (4 × 4) / (12 × 4) | 16/48 | 4 × 48 = 12 × 16 |
| × 5 | (4 × 5) / (12 × 5) | 20/60 | 4 × 60 = 12 × 20 |
| × 6 | (4 × 6) / (12 × 6) | 24/72 | 4 × 72 = 12 × 24 |
| × 7 | (4 × 7) / (12 × 7) | 28/84 | 4 × 84 = 12 × 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.
8/24 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 4 to get 1/3.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
4/12 equals 0.333333… as a decimal and 33.333333% as a percentage.