How to Find Fractions Equivalent to 7/15
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
7 × 2 = 14 and 15 × 2 = 30.
3. Verify the ratio
7 × 30 and 15 × 14 both equal 210.
Direct answer
14/30, 21/45, and 28/60 are equivalent to 7/15.
Enter whole-number numerator and denominator values. Results update instantly.
7/15
0.466667…
46.666667%
14/30 · 21/45 · 28/60
Use the same non-zero number for both terms; start with 2.
7 × 2 = 14 and 15 × 2 = 30.
7 × 30 and 15 × 14 both equal 210.
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 | (7 × 2) / (15 × 2) | 14/30 | 7 × 30 = 15 × 14 |
| × 3 | (7 × 3) / (15 × 3) | 21/45 | 7 × 45 = 15 × 21 |
| × 4 | (7 × 4) / (15 × 4) | 28/60 | 7 × 60 = 15 × 28 |
| × 5 | (7 × 5) / (15 × 5) | 35/75 | 7 × 75 = 15 × 35 |
| × 6 | (7 × 6) / (15 × 6) | 42/90 | 7 × 90 = 15 × 42 |
| × 7 | (7 × 7) / (15 × 7) | 49/105 | 7 × 105 = 15 × 49 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
14/30 is one equivalent fraction because both terms were multiplied by 2.
Yes. 7/15 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.
7/15 equals 0.466667… as a decimal and 46.666667% as a percentage.