How to Find Fractions Equivalent to 21/60
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
21 × 2 = 42 and 60 × 2 = 120.
3. Verify the ratio
21 × 120 and 60 × 42 both equal 2520.
Direct answer
42/120, 63/180, and 84/240 are equivalent to 21/60.
Enter whole-number numerator and denominator values. Results update instantly.
7/20
0.35
35%
42/120 · 63/180 · 84/240
Use the same non-zero number for both terms; start with 2.
21 × 2 = 42 and 60 × 2 = 120.
21 × 120 and 60 × 42 both equal 2520.
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 | (21 × 2) / (60 × 2) | 42/120 | 21 × 120 = 60 × 42 |
| × 3 | (21 × 3) / (60 × 3) | 63/180 | 21 × 180 = 60 × 63 |
| × 4 | (21 × 4) / (60 × 4) | 84/240 | 21 × 240 = 60 × 84 |
| × 5 | (21 × 5) / (60 × 5) | 105/300 | 21 × 300 = 60 × 105 |
| × 6 | (21 × 6) / (60 × 6) | 126/360 | 21 × 360 = 60 × 126 |
| × 7 | (21 × 7) / (60 × 7) | 147/420 | 21 × 420 = 60 × 147 |
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.
42/120 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 7/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
21/60 equals 0.35 as a decimal and 35% as a percentage.