How to Find Fractions Equivalent to 17/15
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
17 × 2 = 34 and 15 × 2 = 30.
3. Verify the ratio
17 × 30 and 15 × 34 both equal 510.
Direct answer
34/30, 51/45, and 68/60 are equivalent to 17/15.
Enter whole-number numerator and denominator values. Results update instantly.
17/15
1.133333…
113.333333%
34/30 · 51/45 · 68/60
Use the same non-zero number for both terms; start with 2.
17 × 2 = 34 and 15 × 2 = 30.
17 × 30 and 15 × 34 both equal 510.
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 | (17 × 2) / (15 × 2) | 34/30 | 17 × 30 = 15 × 34 |
| × 3 | (17 × 3) / (15 × 3) | 51/45 | 17 × 45 = 15 × 51 |
| × 4 | (17 × 4) / (15 × 4) | 68/60 | 17 × 60 = 15 × 68 |
| × 5 | (17 × 5) / (15 × 5) | 85/75 | 17 × 75 = 15 × 85 |
| × 6 | (17 × 6) / (15 × 6) | 102/90 | 17 × 90 = 15 × 102 |
| × 7 | (17 × 7) / (15 × 7) | 119/105 | 17 × 105 = 15 × 119 |
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.
34/30 is one equivalent fraction because both terms were multiplied by 2.
Yes. 17/15 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.
17/15 equals 1.133333… as a decimal and 113.333333% as a percentage.