How to Find Fractions Equivalent to 5/38
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
5 × 2 = 10 and 38 × 2 = 76.
3. Verify the ratio
5 × 76 and 38 × 10 both equal 380.
Direct answer
10/76, 15/114, and 20/152 are equivalent to 5/38.
Enter whole-number numerator and denominator values. Results update instantly.
5/38
0.131579…
13.157895%
10/76 · 15/114 · 20/152
Use the same non-zero number for both terms; start with 2.
5 × 2 = 10 and 38 × 2 = 76.
5 × 76 and 38 × 10 both equal 380.
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 | (5 × 2) / (38 × 2) | 10/76 | 5 × 76 = 38 × 10 |
| × 3 | (5 × 3) / (38 × 3) | 15/114 | 5 × 114 = 38 × 15 |
| × 4 | (5 × 4) / (38 × 4) | 20/152 | 5 × 152 = 38 × 20 |
| × 5 | (5 × 5) / (38 × 5) | 25/190 | 5 × 190 = 38 × 25 |
| × 6 | (5 × 6) / (38 × 6) | 30/228 | 5 × 228 = 38 × 30 |
| × 7 | (5 × 7) / (38 × 7) | 35/266 | 5 × 266 = 38 × 35 |
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.
10/76 is one equivalent fraction because both terms were multiplied by 2.
Yes. 5/38 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.
5/38 equals 0.131579… as a decimal and 13.157895% as a percentage.