How to Find Fractions Equivalent to 38/60
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
38 × 2 = 76 and 60 × 2 = 120.
3. Verify the ratio
38 × 120 and 60 × 76 both equal 4560.
Direct answer
76/120, 114/180, and 152/240 are equivalent to 38/60.
Enter whole-number numerator and denominator values. Results update instantly.
19/30
0.633333…
63.333333%
76/120 · 114/180 · 152/240
Use the same non-zero number for both terms; start with 2.
38 × 2 = 76 and 60 × 2 = 120.
38 × 120 and 60 × 76 both equal 4560.
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) / (60 × 2) | 76/120 | 38 × 120 = 60 × 76 |
| × 3 | (38 × 3) / (60 × 3) | 114/180 | 38 × 180 = 60 × 114 |
| × 4 | (38 × 4) / (60 × 4) | 152/240 | 38 × 240 = 60 × 152 |
| × 5 | (38 × 5) / (60 × 5) | 190/300 | 38 × 300 = 60 × 190 |
| × 6 | (38 × 6) / (60 × 6) | 228/360 | 38 × 360 = 60 × 228 |
| × 7 | (38 × 7) / (60 × 7) | 266/420 | 38 × 420 = 60 × 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.
76/120 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 19/30.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
38/60 equals 0.633333… as a decimal and 63.333333% as a percentage.