How to Find Fractions Equivalent to 3/8
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 8 × 2 = 16.
3. Verify the ratio
3 × 16 and 8 × 6 both equal 48.
Direct answer
6/16, 9/24, and 12/32 are equivalent to 3/8.
Enter whole-number numerator and denominator values. Results update instantly.
3/8
0.375
37.5%
6/16 · 9/24 · 12/32
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 8 × 2 = 16.
3 × 16 and 8 × 6 both equal 48.
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 | (3 × 2) / (8 × 2) | 6/16 | 3 × 16 = 8 × 6 |
| × 3 | (3 × 3) / (8 × 3) | 9/24 | 3 × 24 = 8 × 9 |
| × 4 | (3 × 4) / (8 × 4) | 12/32 | 3 × 32 = 8 × 12 |
| × 5 | (3 × 5) / (8 × 5) | 15/40 | 3 × 40 = 8 × 15 |
| × 6 | (3 × 6) / (8 × 6) | 18/48 | 3 × 48 = 8 × 18 |
| × 7 | (3 × 7) / (8 × 7) | 21/56 | 3 × 56 = 8 × 21 |
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.
6/16 is one equivalent fraction because both terms were multiplied by 2.
Yes. 3/8 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.
3/8 equals 0.375 as a decimal and 37.5% as a percentage.