How to Find Fractions Equivalent to 10/38
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 38 × 2 = 76.
3. Verify the ratio
10 × 76 and 38 × 20 both equal 760.
Direct answer
20/76, 30/114, and 40/152 are equivalent to 10/38.
Enter whole-number numerator and denominator values. Results update instantly.
5/19
0.263158…
26.315789%
20/76 · 30/114 · 40/152
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 38 × 2 = 76.
10 × 76 and 38 × 20 both equal 760.
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 | (10 × 2) / (38 × 2) | 20/76 | 10 × 76 = 38 × 20 |
| × 3 | (10 × 3) / (38 × 3) | 30/114 | 10 × 114 = 38 × 30 |
| × 4 | (10 × 4) / (38 × 4) | 40/152 | 10 × 152 = 38 × 40 |
| × 5 | (10 × 5) / (38 × 5) | 50/190 | 10 × 190 = 38 × 50 |
| × 6 | (10 × 6) / (38 × 6) | 60/228 | 10 × 228 = 38 × 60 |
| × 7 | (10 × 7) / (38 × 7) | 70/266 | 10 × 266 = 38 × 70 |
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.
20/76 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 5/19.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/38 equals 0.263158… as a decimal and 26.315789% as a percentage.