How to Find Fractions Equivalent to 2/18
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 18 × 2 = 36.
3. Verify the ratio
2 × 36 and 18 × 4 both equal 72.
Direct answer
4/36, 6/54, and 8/72 are equivalent to 2/18.
Enter whole-number numerator and denominator values. Results update instantly.
1/9
0.111111…
11.111111%
4/36 · 6/54 · 8/72
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 18 × 2 = 36.
2 × 36 and 18 × 4 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 | (2 × 2) / (18 × 2) | 4/36 | 2 × 36 = 18 × 4 |
| × 3 | (2 × 3) / (18 × 3) | 6/54 | 2 × 54 = 18 × 6 |
| × 4 | (2 × 4) / (18 × 4) | 8/72 | 2 × 72 = 18 × 8 |
| × 5 | (2 × 5) / (18 × 5) | 10/90 | 2 × 90 = 18 × 10 |
| × 6 | (2 × 6) / (18 × 6) | 12/108 | 2 × 108 = 18 × 12 |
| × 7 | (2 × 7) / (18 × 7) | 14/126 | 2 × 126 = 18 × 14 |
Because the numerator and denominator share a factor, this example is especially useful for practicing reduction before conversion.
Learning tip: Simplify first to make the decimal division and equivalence check easier.
4/36 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 1/9.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
2/18 equals 0.111111… as a decimal and 11.111111% as a percentage.