How to Find Fractions Equivalent to 3/18
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
3 × 2 = 6 and 18 × 2 = 36.
3. Verify the ratio
3 × 36 and 18 × 6 both equal 108.
Direct answer
6/36, 9/54, and 12/72 are equivalent to 3/18.
Enter whole-number numerator and denominator values. Results update instantly.
1/6
0.166667…
16.666667%
6/36 · 9/54 · 12/72
Use the same non-zero number for both terms; start with 2.
3 × 2 = 6 and 18 × 2 = 36.
3 × 36 and 18 × 6 both equal 108.
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) / (18 × 2) | 6/36 | 3 × 36 = 18 × 6 |
| × 3 | (3 × 3) / (18 × 3) | 9/54 | 3 × 54 = 18 × 9 |
| × 4 | (3 × 4) / (18 × 4) | 12/72 | 3 × 72 = 18 × 12 |
| × 5 | (3 × 5) / (18 × 5) | 15/90 | 3 × 90 = 18 × 15 |
| × 6 | (3 × 6) / (18 × 6) | 18/108 | 3 × 108 = 18 × 18 |
| × 7 | (3 × 7) / (18 × 7) | 21/126 | 3 × 126 = 18 × 21 |
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.
6/36 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 1/6.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
3/18 equals 0.166667… as a decimal and 16.666667% as a percentage.