How to Find Fractions Equivalent to 4/38
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
4 × 2 = 8 and 38 × 2 = 76.
3. Verify the ratio
4 × 76 and 38 × 8 both equal 304.
Direct answer
8/76, 12/114, and 16/152 are equivalent to 4/38.
Enter whole-number numerator and denominator values. Results update instantly.
2/19
0.105263…
10.526316%
8/76 · 12/114 · 16/152
Use the same non-zero number for both terms; start with 2.
4 × 2 = 8 and 38 × 2 = 76.
4 × 76 and 38 × 8 both equal 304.
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) / (38 × 2) | 8/76 | 4 × 76 = 38 × 8 |
| × 3 | (4 × 3) / (38 × 3) | 12/114 | 4 × 114 = 38 × 12 |
| × 4 | (4 × 4) / (38 × 4) | 16/152 | 4 × 152 = 38 × 16 |
| × 5 | (4 × 5) / (38 × 5) | 20/190 | 4 × 190 = 38 × 20 |
| × 6 | (4 × 6) / (38 × 6) | 24/228 | 4 × 228 = 38 × 24 |
| × 7 | (4 × 7) / (38 × 7) | 28/266 | 4 × 266 = 38 × 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.
8/76 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 2/19.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
4/38 equals 0.105263… as a decimal and 10.526316% as a percentage.