How to Find Fractions Equivalent to 12/38
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
12 × 2 = 24 and 38 × 2 = 76.
3. Verify the ratio
12 × 76 and 38 × 24 both equal 912.
Direct answer
24/76, 36/114, and 48/152 are equivalent to 12/38.
Enter whole-number numerator and denominator values. Results update instantly.
6/19
0.315789…
31.578947%
24/76 · 36/114 · 48/152
Use the same non-zero number for both terms; start with 2.
12 × 2 = 24 and 38 × 2 = 76.
12 × 76 and 38 × 24 both equal 912.
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 | (12 × 2) / (38 × 2) | 24/76 | 12 × 76 = 38 × 24 |
| × 3 | (12 × 3) / (38 × 3) | 36/114 | 12 × 114 = 38 × 36 |
| × 4 | (12 × 4) / (38 × 4) | 48/152 | 12 × 152 = 38 × 48 |
| × 5 | (12 × 5) / (38 × 5) | 60/190 | 12 × 190 = 38 × 60 |
| × 6 | (12 × 6) / (38 × 6) | 72/228 | 12 × 228 = 38 × 72 |
| × 7 | (12 × 7) / (38 × 7) | 84/266 | 12 × 266 = 38 × 84 |
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.
24/76 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 6/19.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
12/38 equals 0.315789… as a decimal and 31.578947% as a percentage.