How to Find Fractions Equivalent to 3/60
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 60 × 2 = 120.
3. Verify the ratio
3 × 120 and 60 × 6 both equal 360.
Direct answer
6/120, 9/180, and 12/240 are equivalent to 3/60.
Enter whole-number numerator and denominator values. Results update instantly.
1/20
0.05
5%
6/120 · 9/180 · 12/240
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 60 × 2 = 120.
3 × 120 and 60 × 6 both equal 360.
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) / (60 × 2) | 6/120 | 3 × 120 = 60 × 6 |
| × 3 | (3 × 3) / (60 × 3) | 9/180 | 3 × 180 = 60 × 9 |
| × 4 | (3 × 4) / (60 × 4) | 12/240 | 3 × 240 = 60 × 12 |
| × 5 | (3 × 5) / (60 × 5) | 15/300 | 3 × 300 = 60 × 15 |
| × 6 | (3 × 6) / (60 × 6) | 18/360 | 3 × 360 = 60 × 18 |
| × 7 | (3 × 7) / (60 × 7) | 21/420 | 3 × 420 = 60 × 21 |
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.
6/120 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 1/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
3/60 equals 0.05 as a decimal and 5% as a percentage.