How to Find Fractions Equivalent to 10/18
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 18 × 2 = 36.
3. Verify the ratio
10 × 36 and 18 × 20 both equal 360.
Direct answer
20/36, 30/54, and 40/72 are equivalent to 10/18.
Enter whole-number numerator and denominator values. Results update instantly.
5/9
0.555556…
55.555556%
20/36 · 30/54 · 40/72
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 18 × 2 = 36.
10 × 36 and 18 × 20 both equal 360.
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 | (10 × 2) / (18 × 2) | 20/36 | 10 × 36 = 18 × 20 |
| × 3 | (10 × 3) / (18 × 3) | 30/54 | 10 × 54 = 18 × 30 |
| × 4 | (10 × 4) / (18 × 4) | 40/72 | 10 × 72 = 18 × 40 |
| × 5 | (10 × 5) / (18 × 5) | 50/90 | 10 × 90 = 18 × 50 |
| × 6 | (10 × 6) / (18 × 6) | 60/108 | 10 × 108 = 18 × 60 |
| × 7 | (10 × 7) / (18 × 7) | 70/126 | 10 × 126 = 18 × 70 |
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.
20/36 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 5/9.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/18 equals 0.555556… as a decimal and 55.555556% as a percentage.