How to Find Fractions Equivalent to 9/12
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
9 × 2 = 18 and 12 × 2 = 24.
3. Verify the ratio
9 × 24 and 12 × 18 both equal 216.
Direct answer
18/24, 27/36, and 36/48 are equivalent to 9/12.
Enter whole-number numerator and denominator values. Results update instantly.
3/4
0.75
75%
18/24 · 27/36 · 36/48
Use the same non-zero number for both terms; start with 2.
9 × 2 = 18 and 12 × 2 = 24.
9 × 24 and 12 × 18 both equal 216.
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 | (9 × 2) / (12 × 2) | 18/24 | 9 × 24 = 12 × 18 |
| × 3 | (9 × 3) / (12 × 3) | 27/36 | 9 × 36 = 12 × 27 |
| × 4 | (9 × 4) / (12 × 4) | 36/48 | 9 × 48 = 12 × 36 |
| × 5 | (9 × 5) / (12 × 5) | 45/60 | 9 × 60 = 12 × 45 |
| × 6 | (9 × 6) / (12 × 6) | 54/72 | 9 × 72 = 12 × 54 |
| × 7 | (9 × 7) / (12 × 7) | 63/84 | 9 × 84 = 12 × 63 |
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.
18/24 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 3/4.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
9/12 equals 0.75 as a decimal and 75% as a percentage.