How to Find Fractions Equivalent to 5/21
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
5 × 2 = 10 and 21 × 2 = 42.
3. Verify the ratio
5 × 42 and 21 × 10 both equal 210.
Direct answer
10/42, 15/63, and 20/84 are equivalent to 5/21.
Enter whole-number numerator and denominator values. Results update instantly.
5/21
0.238095…
23.809524%
10/42 · 15/63 · 20/84
Use the same non-zero number for both terms; start with 2.
5 × 2 = 10 and 21 × 2 = 42.
5 × 42 and 21 × 10 both equal 210.
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 | (5 × 2) / (21 × 2) | 10/42 | 5 × 42 = 21 × 10 |
| × 3 | (5 × 3) / (21 × 3) | 15/63 | 5 × 63 = 21 × 15 |
| × 4 | (5 × 4) / (21 × 4) | 20/84 | 5 × 84 = 21 × 20 |
| × 5 | (5 × 5) / (21 × 5) | 25/105 | 5 × 105 = 21 × 25 |
| × 6 | (5 × 6) / (21 × 6) | 30/126 | 5 × 126 = 21 × 30 |
| × 7 | (5 × 7) / (21 × 7) | 35/147 | 5 × 147 = 21 × 35 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
10/42 is one equivalent fraction because both terms were multiplied by 2.
Yes. 5/21 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.
5/21 equals 0.238095… as a decimal and 23.809524% as a percentage.