How to Find Fractions Equivalent to 3/12
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 12 × 2 = 24.
3. Verify the ratio
3 × 24 and 12 × 6 both equal 72.
Direct answer
6/24, 9/36, and 12/48 are equivalent to 3/12.
Enter whole-number numerator and denominator values. Results update instantly.
1/4
0.25
25%
6/24 · 9/36 · 12/48
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 12 × 2 = 24.
3 × 24 and 12 × 6 both equal 72.
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 | (3 × 2) / (12 × 2) | 6/24 | 3 × 24 = 12 × 6 |
| × 3 | (3 × 3) / (12 × 3) | 9/36 | 3 × 36 = 12 × 9 |
| × 4 | (3 × 4) / (12 × 4) | 12/48 | 3 × 48 = 12 × 12 |
| × 5 | (3 × 5) / (12 × 5) | 15/60 | 3 × 60 = 12 × 15 |
| × 6 | (3 × 6) / (12 × 6) | 18/72 | 3 × 72 = 12 × 18 |
| × 7 | (3 × 7) / (12 × 7) | 21/84 | 3 × 84 = 12 × 21 |
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.
6/24 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 1/4.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
3/12 equals 0.25 as a decimal and 25% as a percentage.