How to Find Fractions Equivalent to 2/36
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
2 × 2 = 4 and 36 × 2 = 72.
3. Verify the ratio
2 × 72 and 36 × 4 both equal 144.
Direct answer
4/72, 6/108, and 8/144 are equivalent to 2/36.
Enter whole-number numerator and denominator values. Results update instantly.
1/18
0.055556…
5.555556%
4/72 · 6/108 · 8/144
Use the same non-zero number for both terms; start with 2.
2 × 2 = 4 and 36 × 2 = 72.
2 × 72 and 36 × 4 both equal 144.
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) / (36 × 2) | 4/72 | 2 × 72 = 36 × 4 |
| × 3 | (2 × 3) / (36 × 3) | 6/108 | 2 × 108 = 36 × 6 |
| × 4 | (2 × 4) / (36 × 4) | 8/144 | 2 × 144 = 36 × 8 |
| × 5 | (2 × 5) / (36 × 5) | 10/180 | 2 × 180 = 36 × 10 |
| × 6 | (2 × 6) / (36 × 6) | 12/216 | 2 × 216 = 36 × 12 |
| × 7 | (2 × 7) / (36 × 7) | 14/252 | 2 × 252 = 36 × 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.
4/72 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 1/18.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
2/36 equals 0.055556… as a decimal and 5.555556% as a percentage.