How to Find Fractions Equivalent to 21/48
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
21 × 2 = 42 and 48 × 2 = 96.
3. Verify the ratio
21 × 96 and 48 × 42 both equal 2016.
Direct answer
42/96, 63/144, and 84/192 are equivalent to 21/48.
Enter whole-number numerator and denominator values. Results update instantly.
7/16
0.4375
43.75%
42/96 · 63/144 · 84/192
Use the same non-zero number for both terms; start with 2.
21 × 2 = 42 and 48 × 2 = 96.
21 × 96 and 48 × 42 both equal 2016.
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) / (48 × 2) | 42/96 | 21 × 96 = 48 × 42 |
| × 3 | (21 × 3) / (48 × 3) | 63/144 | 21 × 144 = 48 × 63 |
| × 4 | (21 × 4) / (48 × 4) | 84/192 | 21 × 192 = 48 × 84 |
| × 5 | (21 × 5) / (48 × 5) | 105/240 | 21 × 240 = 48 × 105 |
| × 6 | (21 × 6) / (48 × 6) | 126/288 | 21 × 288 = 48 × 126 |
| × 7 | (21 × 7) / (48 × 7) | 147/336 | 21 × 336 = 48 × 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.
42/96 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 7/16.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
21/48 equals 0.4375 as a decimal and 43.75% as a percentage.