How to Find Fractions Equivalent to 10/6
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 6 × 2 = 12.
3. Verify the ratio
10 × 12 and 6 × 20 both equal 120.
Direct answer
20/12, 30/18, and 40/24 are equivalent to 10/6.
Enter whole-number numerator and denominator values. Results update instantly.
5/3
1.666667…
166.666667%
20/12 · 30/18 · 40/24
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 6 × 2 = 12.
10 × 12 and 6 × 20 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 | (10 × 2) / (6 × 2) | 20/12 | 10 × 12 = 6 × 20 |
| × 3 | (10 × 3) / (6 × 3) | 30/18 | 10 × 18 = 6 × 30 |
| × 4 | (10 × 4) / (6 × 4) | 40/24 | 10 × 24 = 6 × 40 |
| × 5 | (10 × 5) / (6 × 5) | 50/30 | 10 × 30 = 6 × 50 |
| × 6 | (10 × 6) / (6 × 6) | 60/36 | 10 × 36 = 6 × 60 |
| × 7 | (10 × 7) / (6 × 7) | 70/42 | 10 × 42 = 6 × 70 |
This value is greater than one whole, so it is useful for rates, recipe scaling, and measurements that exceed one unit.
Learning tip: Convert an improper fraction to a mixed number when a real-world measurement is easier to read that way.
20/12 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 5/3.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/6 equals 1.666667… as a decimal and 166.666667% as a percentage.