How to Find Fractions Equivalent to 9/21
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
9 × 2 = 18 and 21 × 2 = 42.
3. Verify the ratio
9 × 42 and 21 × 18 both equal 378.
Direct answer
18/42, 27/63, and 36/84 are equivalent to 9/21.
Enter whole-number numerator and denominator values. Results update instantly.
3/7
0.428571…
42.857143%
18/42 · 27/63 · 36/84
Use the same non-zero number for both terms; start with 2.
9 × 2 = 18 and 21 × 2 = 42.
9 × 42 and 21 × 18 both equal 378.
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) / (21 × 2) | 18/42 | 9 × 42 = 21 × 18 |
| × 3 | (9 × 3) / (21 × 3) | 27/63 | 9 × 63 = 21 × 27 |
| × 4 | (9 × 4) / (21 × 4) | 36/84 | 9 × 84 = 21 × 36 |
| × 5 | (9 × 5) / (21 × 5) | 45/105 | 9 × 105 = 21 × 45 |
| × 6 | (9 × 6) / (21 × 6) | 54/126 | 9 × 126 = 21 × 54 |
| × 7 | (9 × 7) / (21 × 7) | 63/147 | 9 × 147 = 21 × 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.
18/42 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 3/7.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
9/21 equals 0.428571… as a decimal and 42.857143% as a percentage.