How to Find Fractions Equivalent to 4/9
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
4 × 2 = 8 and 9 × 2 = 18.
3. Verify the ratio
4 × 18 and 9 × 8 both equal 72.
Direct answer
8/18, 12/27, and 16/36 are equivalent to 4/9.
Enter whole-number numerator and denominator values. Results update instantly.
4/9
0.444444…
44.444444%
8/18 · 12/27 · 16/36
Use the same non-zero number for both terms; start with 2.
4 × 2 = 8 and 9 × 2 = 18.
4 × 18 and 9 × 8 both equal 72.
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 | (4 × 2) / (9 × 2) | 8/18 | 4 × 18 = 9 × 8 |
| × 3 | (4 × 3) / (9 × 3) | 12/27 | 4 × 27 = 9 × 12 |
| × 4 | (4 × 4) / (9 × 4) | 16/36 | 4 × 36 = 9 × 16 |
| × 5 | (4 × 5) / (9 × 5) | 20/45 | 4 × 45 = 9 × 20 |
| × 6 | (4 × 6) / (9 × 6) | 24/54 | 4 × 54 = 9 × 24 |
| × 7 | (4 × 7) / (9 × 7) | 28/63 | 4 × 63 = 9 × 28 |
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.
8/18 is one equivalent fraction because both terms were multiplied by 2.
Yes. 4/9 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.
4/9 equals 0.444444… as a decimal and 44.444444% as a percentage.