How to Find Fractions Equivalent to 12/21
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
12 × 2 = 24 and 21 × 2 = 42.
3. Verify the ratio
12 × 42 and 21 × 24 both equal 504.
Direct answer
24/42, 36/63, and 48/84 are equivalent to 12/21.
Enter whole-number numerator and denominator values. Results update instantly.
4/7
0.571429…
57.142857%
24/42 · 36/63 · 48/84
Use the same non-zero number for both terms; start with 2.
12 × 2 = 24 and 21 × 2 = 42.
12 × 42 and 21 × 24 both equal 504.
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 | (12 × 2) / (21 × 2) | 24/42 | 12 × 42 = 21 × 24 |
| × 3 | (12 × 3) / (21 × 3) | 36/63 | 12 × 63 = 21 × 36 |
| × 4 | (12 × 4) / (21 × 4) | 48/84 | 12 × 84 = 21 × 48 |
| × 5 | (12 × 5) / (21 × 5) | 60/105 | 12 × 105 = 21 × 60 |
| × 6 | (12 × 6) / (21 × 6) | 72/126 | 12 × 126 = 21 × 72 |
| × 7 | (12 × 7) / (21 × 7) | 84/147 | 12 × 147 = 21 × 84 |
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.
24/42 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 4/7.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
12/21 equals 0.571429… as a decimal and 57.142857% as a percentage.