How to Find Fractions Equivalent to 15/18
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
15 × 2 = 30 and 18 × 2 = 36.
3. Verify the ratio
15 × 36 and 18 × 30 both equal 540.
Direct answer
30/36, 45/54, and 60/72 are equivalent to 15/18.
Enter whole-number numerator and denominator values. Results update instantly.
5/6
0.833333…
83.333333%
30/36 · 45/54 · 60/72
Use the same non-zero number for both terms; start with 2.
15 × 2 = 30 and 18 × 2 = 36.
15 × 36 and 18 × 30 both equal 540.
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 | (15 × 2) / (18 × 2) | 30/36 | 15 × 36 = 18 × 30 |
| × 3 | (15 × 3) / (18 × 3) | 45/54 | 15 × 54 = 18 × 45 |
| × 4 | (15 × 4) / (18 × 4) | 60/72 | 15 × 72 = 18 × 60 |
| × 5 | (15 × 5) / (18 × 5) | 75/90 | 15 × 90 = 18 × 75 |
| × 6 | (15 × 6) / (18 × 6) | 90/108 | 15 × 108 = 18 × 90 |
| × 7 | (15 × 7) / (18 × 7) | 105/126 | 15 × 126 = 18 × 105 |
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.
30/36 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 5/6.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
15/18 equals 0.833333… as a decimal and 83.333333% as a percentage.