How to Find Fractions Equivalent to 3/38
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 38 × 2 = 76.
3. Verify the ratio
3 × 76 and 38 × 6 both equal 228.
Direct answer
6/76, 9/114, and 12/152 are equivalent to 3/38.
Enter whole-number numerator and denominator values. Results update instantly.
3/38
0.078947…
7.894737%
6/76 · 9/114 · 12/152
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 38 × 2 = 76.
3 × 76 and 38 × 6 both equal 228.
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) / (38 × 2) | 6/76 | 3 × 76 = 38 × 6 |
| × 3 | (3 × 3) / (38 × 3) | 9/114 | 3 × 114 = 38 × 9 |
| × 4 | (3 × 4) / (38 × 4) | 12/152 | 3 × 152 = 38 × 12 |
| × 5 | (3 × 5) / (38 × 5) | 15/190 | 3 × 190 = 38 × 15 |
| × 6 | (3 × 6) / (38 × 6) | 18/228 | 3 × 228 = 38 × 18 |
| × 7 | (3 × 7) / (38 × 7) | 21/266 | 3 × 266 = 38 × 21 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
6/76 is one equivalent fraction because both terms were multiplied by 2.
Yes. 3/38 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
3/38 equals 0.078947… as a decimal and 7.894737% as a percentage.