How to Find Fractions Equivalent to 15/32
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
15 × 2 = 30 and 32 × 2 = 64.
3. Verify the ratio
15 × 64 and 32 × 30 both equal 960.
Direct answer
30/64, 45/96, and 60/128 are equivalent to 15/32.
Enter whole-number numerator and denominator values. Results update instantly.
15/32
0.46875
46.875%
30/64 · 45/96 · 60/128
Use the same non-zero number for both terms; start with 2.
15 × 2 = 30 and 32 × 2 = 64.
15 × 64 and 32 × 30 both equal 960.
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 | (15 × 2) / (32 × 2) | 30/64 | 15 × 64 = 32 × 30 |
| × 3 | (15 × 3) / (32 × 3) | 45/96 | 15 × 96 = 32 × 45 |
| × 4 | (15 × 4) / (32 × 4) | 60/128 | 15 × 128 = 32 × 60 |
| × 5 | (15 × 5) / (32 × 5) | 75/160 | 15 × 160 = 32 × 75 |
| × 6 | (15 × 6) / (32 × 6) | 90/192 | 15 × 192 = 32 × 90 |
| × 7 | (15 × 7) / (32 × 7) | 105/224 | 15 × 224 = 32 × 105 |
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.
30/64 is one equivalent fraction because both terms were multiplied by 2.
Yes. 15/32 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.
15/32 equals 0.46875 as a decimal and 46.875% as a percentage.