How to Find Fractions Equivalent to 42/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
42 × 2 = 84 and 40 × 2 = 80.
3. Verify the ratio
42 × 80 and 40 × 84 both equal 3360.
Direct answer
84/80, 126/120, and 168/160 are equivalent to 42/40.
Enter whole-number numerator and denominator values. Results update instantly.
21/20
1.05
105%
84/80 · 126/120 · 168/160
Use the same non-zero number for both terms; start with 2.
42 × 2 = 84 and 40 × 2 = 80.
42 × 80 and 40 × 84 both equal 3360.
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 | (42 × 2) / (40 × 2) | 84/80 | 42 × 80 = 40 × 84 |
| × 3 | (42 × 3) / (40 × 3) | 126/120 | 42 × 120 = 40 × 126 |
| × 4 | (42 × 4) / (40 × 4) | 168/160 | 42 × 160 = 40 × 168 |
| × 5 | (42 × 5) / (40 × 5) | 210/200 | 42 × 200 = 40 × 210 |
| × 6 | (42 × 6) / (40 × 6) | 252/240 | 42 × 240 = 40 × 252 |
| × 7 | (42 × 7) / (40 × 7) | 294/280 | 42 × 280 = 40 × 294 |
This value is greater than one whole, so it is useful for rates, recipe scaling, and measurements that exceed one unit.
Learning tip: Convert an improper fraction to a mixed number when a real-world measurement is easier to read that way.
84/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 21/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
42/40 equals 1.05 as a decimal and 105% as a percentage.