How to Find Fractions Equivalent to 9/20
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
9 × 2 = 18 and 20 × 2 = 40.
3. Verify the ratio
9 × 40 and 20 × 18 both equal 360.
Direct answer
18/40, 27/60, and 36/80 are equivalent to 9/20.
Enter whole-number numerator and denominator values. Results update instantly.
9/20
0.45
45%
18/40 · 27/60 · 36/80
Use the same non-zero number for both terms; start with 2.
9 × 2 = 18 and 20 × 2 = 40.
9 × 40 and 20 × 18 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 | (9 × 2) / (20 × 2) | 18/40 | 9 × 40 = 20 × 18 |
| × 3 | (9 × 3) / (20 × 3) | 27/60 | 9 × 60 = 20 × 27 |
| × 4 | (9 × 4) / (20 × 4) | 36/80 | 9 × 80 = 20 × 36 |
| × 5 | (9 × 5) / (20 × 5) | 45/100 | 9 × 100 = 20 × 45 |
| × 6 | (9 × 6) / (20 × 6) | 54/120 | 9 × 120 = 20 × 54 |
| × 7 | (9 × 7) / (20 × 7) | 63/140 | 9 × 140 = 20 × 63 |
This fraction converts to a familiar benchmark percentage, which helps with estimation, discounts, grades, and progress tracking.
Learning tip: Memorize common benchmark fractions so you can estimate an answer before calculating.
18/40 is one equivalent fraction because both terms were multiplied by 2.
Yes. 9/20 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.
9/20 equals 0.45 as a decimal and 45% as a percentage.