How to Find Fractions Equivalent to 9/8
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
9 × 2 = 18 and 8 × 2 = 16.
3. Verify the ratio
9 × 16 and 8 × 18 both equal 144.
Direct answer
18/16, 27/24, and 36/32 are equivalent to 9/8.
Enter whole-number numerator and denominator values. Results update instantly.
9/8
1.125
112.5%
18/16 · 27/24 · 36/32
Use the same non-zero number for both terms; start with 2.
9 × 2 = 18 and 8 × 2 = 16.
9 × 16 and 8 × 18 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 | (9 × 2) / (8 × 2) | 18/16 | 9 × 16 = 8 × 18 |
| × 3 | (9 × 3) / (8 × 3) | 27/24 | 9 × 24 = 8 × 27 |
| × 4 | (9 × 4) / (8 × 4) | 36/32 | 9 × 32 = 8 × 36 |
| × 5 | (9 × 5) / (8 × 5) | 45/40 | 9 × 40 = 8 × 45 |
| × 6 | (9 × 6) / (8 × 6) | 54/48 | 9 × 48 = 8 × 54 |
| × 7 | (9 × 7) / (8 × 7) | 63/56 | 9 × 56 = 8 × 63 |
This value is greater than one whole, so it is useful for rates, recipe scaling, and measurements that exceed one unit.
Learning tip: Convert an improper fraction to a mixed number when a real-world measurement is easier to read that way.
18/16 is one equivalent fraction because both terms were multiplied by 2.
Yes. 9/8 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
9/8 equals 1.125 as a decimal and 112.5% as a percentage.