How to Find Fractions Equivalent to 21/24
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
21 × 2 = 42 and 24 × 2 = 48.
3. Verify the ratio
21 × 48 and 24 × 42 both equal 1008.
Direct answer
42/48, 63/72, and 84/96 are equivalent to 21/24.
Enter whole-number numerator and denominator values. Results update instantly.
7/8
0.875
87.5%
42/48 · 63/72 · 84/96
Use the same non-zero number for both terms; start with 2.
21 × 2 = 42 and 24 × 2 = 48.
21 × 48 and 24 × 42 both equal 1008.
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 | (21 × 2) / (24 × 2) | 42/48 | 21 × 48 = 24 × 42 |
| × 3 | (21 × 3) / (24 × 3) | 63/72 | 21 × 72 = 24 × 63 |
| × 4 | (21 × 4) / (24 × 4) | 84/96 | 21 × 96 = 24 × 84 |
| × 5 | (21 × 5) / (24 × 5) | 105/120 | 21 × 120 = 24 × 105 |
| × 6 | (21 × 6) / (24 × 6) | 126/144 | 21 × 144 = 24 × 126 |
| × 7 | (21 × 7) / (24 × 7) | 147/168 | 21 × 168 = 24 × 147 |
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.
42/48 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 7/8.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
21/24 equals 0.875 as a decimal and 87.5% as a percentage.