How to Find Fractions Equivalent to 38/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
38 × 2 = 76 and 40 × 2 = 80.
3. Verify the ratio
38 × 80 and 40 × 76 both equal 3040.
Direct answer
76/80, 114/120, and 152/160 are equivalent to 38/40.
Enter whole-number numerator and denominator values. Results update instantly.
19/20
0.95
95%
76/80 · 114/120 · 152/160
Use the same non-zero number for both terms; start with 2.
38 × 2 = 76 and 40 × 2 = 80.
38 × 80 and 40 × 76 both equal 3040.
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 | (38 × 2) / (40 × 2) | 76/80 | 38 × 80 = 40 × 76 |
| × 3 | (38 × 3) / (40 × 3) | 114/120 | 38 × 120 = 40 × 114 |
| × 4 | (38 × 4) / (40 × 4) | 152/160 | 38 × 160 = 40 × 152 |
| × 5 | (38 × 5) / (40 × 5) | 190/200 | 38 × 200 = 40 × 190 |
| × 6 | (38 × 6) / (40 × 6) | 228/240 | 38 × 240 = 40 × 228 |
| × 7 | (38 × 7) / (40 × 7) | 266/280 | 38 × 280 = 40 × 266 |
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.
76/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 19/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
38/40 equals 0.95 as a decimal and 95% as a percentage.