How to Find Fractions Equivalent to 6/10
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
6 × 2 = 12 and 10 × 2 = 20.
3. Verify the ratio
6 × 20 and 10 × 12 both equal 120.
Direct answer
12/20, 18/30, and 24/40 are equivalent to 6/10.
Enter whole-number numerator and denominator values. Results update instantly.
3/5
0.6
60%
12/20 · 18/30 · 24/40
Use the same non-zero number for both terms; start with 2.
6 × 2 = 12 and 10 × 2 = 20.
6 × 20 and 10 × 12 both equal 120.
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 | (6 × 2) / (10 × 2) | 12/20 | 6 × 20 = 10 × 12 |
| × 3 | (6 × 3) / (10 × 3) | 18/30 | 6 × 30 = 10 × 18 |
| × 4 | (6 × 4) / (10 × 4) | 24/40 | 6 × 40 = 10 × 24 |
| × 5 | (6 × 5) / (10 × 5) | 30/50 | 6 × 50 = 10 × 30 |
| × 6 | (6 × 6) / (10 × 6) | 36/60 | 6 × 60 = 10 × 36 |
| × 7 | (6 × 7) / (10 × 7) | 42/70 | 6 × 70 = 10 × 42 |
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.
12/20 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 3/5.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
6/10 equals 0.6 as a decimal and 60% as a percentage.