How to Find Fractions Equivalent to 10/7
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 7 × 2 = 14.
3. Verify the ratio
10 × 14 and 7 × 20 both equal 140.
Direct answer
20/14, 30/21, and 40/28 are equivalent to 10/7.
Enter whole-number numerator and denominator values. Results update instantly.
10/7
1.428571…
142.857143%
20/14 · 30/21 · 40/28
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 7 × 2 = 14.
10 × 14 and 7 × 20 both equal 140.
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) / (7 × 2) | 20/14 | 10 × 14 = 7 × 20 |
| × 3 | (10 × 3) / (7 × 3) | 30/21 | 10 × 21 = 7 × 30 |
| × 4 | (10 × 4) / (7 × 4) | 40/28 | 10 × 28 = 7 × 40 |
| × 5 | (10 × 5) / (7 × 5) | 50/35 | 10 × 35 = 7 × 50 |
| × 6 | (10 × 6) / (7 × 6) | 60/42 | 10 × 42 = 7 × 60 |
| × 7 | (10 × 7) / (7 × 7) | 70/49 | 10 × 49 = 7 × 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.
20/14 is one equivalent fraction because both terms were multiplied by 2.
Yes. 10/7 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/7 equals 1.428571… as a decimal and 142.857143% as a percentage.