How to Find Fractions Equivalent to 10/21
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 21 × 2 = 42.
3. Verify the ratio
10 × 42 and 21 × 20 both equal 420.
Direct answer
20/42, 30/63, and 40/84 are equivalent to 10/21.
Enter whole-number numerator and denominator values. Results update instantly.
10/21
0.47619…
47.619048%
20/42 · 30/63 · 40/84
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 21 × 2 = 42.
10 × 42 and 21 × 20 both equal 420.
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 | (10 × 2) / (21 × 2) | 20/42 | 10 × 42 = 21 × 20 |
| × 3 | (10 × 3) / (21 × 3) | 30/63 | 10 × 63 = 21 × 30 |
| × 4 | (10 × 4) / (21 × 4) | 40/84 | 10 × 84 = 21 × 40 |
| × 5 | (10 × 5) / (21 × 5) | 50/105 | 10 × 105 = 21 × 50 |
| × 6 | (10 × 6) / (21 × 6) | 60/126 | 10 × 126 = 21 × 60 |
| × 7 | (10 × 7) / (21 × 7) | 70/147 | 10 × 147 = 21 × 70 |
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.
20/42 is one equivalent fraction because both terms were multiplied by 2.
Yes. 10/21 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.
10/21 equals 0.47619… as a decimal and 47.619048% as a percentage.