How to Find Fractions Equivalent to 6/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
6 × 2 = 12 and 40 × 2 = 80.
3. Verify the ratio
6 × 80 and 40 × 12 both equal 480.
Direct answer
12/80, 18/120, and 24/160 are equivalent to 6/40.
Enter whole-number numerator and denominator values. Results update instantly.
3/20
0.15
15%
12/80 · 18/120 · 24/160
Use the same non-zero number for both terms; start with 2.
6 × 2 = 12 and 40 × 2 = 80.
6 × 80 and 40 × 12 both equal 480.
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 | (6 × 2) / (40 × 2) | 12/80 | 6 × 80 = 40 × 12 |
| × 3 | (6 × 3) / (40 × 3) | 18/120 | 6 × 120 = 40 × 18 |
| × 4 | (6 × 4) / (40 × 4) | 24/160 | 6 × 160 = 40 × 24 |
| × 5 | (6 × 5) / (40 × 5) | 30/200 | 6 × 200 = 40 × 30 |
| × 6 | (6 × 6) / (40 × 6) | 36/240 | 6 × 240 = 40 × 36 |
| × 7 | (6 × 7) / (40 × 7) | 42/280 | 6 × 280 = 40 × 42 |
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.
12/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 3/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
6/40 equals 0.15 as a decimal and 15% as a percentage.