How to Find Fractions Equivalent to 12/31
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
12 × 2 = 24 and 31 × 2 = 62.
3. Verify the ratio
12 × 62 and 31 × 24 both equal 744.
Direct answer
24/62, 36/93, and 48/124 are equivalent to 12/31.
Enter whole-number numerator and denominator values. Results update instantly.
12/31
0.387097…
38.709677%
24/62 · 36/93 · 48/124
Use the same non-zero number for both terms; start with 2.
12 × 2 = 24 and 31 × 2 = 62.
12 × 62 and 31 × 24 both equal 744.
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) / (31 × 2) | 24/62 | 12 × 62 = 31 × 24 |
| × 3 | (12 × 3) / (31 × 3) | 36/93 | 12 × 93 = 31 × 36 |
| × 4 | (12 × 4) / (31 × 4) | 48/124 | 12 × 124 = 31 × 48 |
| × 5 | (12 × 5) / (31 × 5) | 60/155 | 12 × 155 = 31 × 60 |
| × 6 | (12 × 6) / (31 × 6) | 72/186 | 12 × 186 = 31 × 72 |
| × 7 | (12 × 7) / (31 × 7) | 84/217 | 12 × 217 = 31 × 84 |
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.
24/62 is one equivalent fraction because both terms were multiplied by 2.
Yes. 12/31 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.
12/31 equals 0.387097… as a decimal and 38.709677% as a percentage.