How to Find Fractions Equivalent to 27/60
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
27 × 2 = 54 and 60 × 2 = 120.
3. Verify the ratio
27 × 120 and 60 × 54 both equal 3240.
Direct answer
54/120, 81/180, and 108/240 are equivalent to 27/60.
Enter whole-number numerator and denominator values. Results update instantly.
9/20
0.45
45%
54/120 · 81/180 · 108/240
Use the same non-zero number for both terms; start with 2.
27 × 2 = 54 and 60 × 2 = 120.
27 × 120 and 60 × 54 both equal 3240.
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 | (27 × 2) / (60 × 2) | 54/120 | 27 × 120 = 60 × 54 |
| × 3 | (27 × 3) / (60 × 3) | 81/180 | 27 × 180 = 60 × 81 |
| × 4 | (27 × 4) / (60 × 4) | 108/240 | 27 × 240 = 60 × 108 |
| × 5 | (27 × 5) / (60 × 5) | 135/300 | 27 × 300 = 60 × 135 |
| × 6 | (27 × 6) / (60 × 6) | 162/360 | 27 × 360 = 60 × 162 |
| × 7 | (27 × 7) / (60 × 7) | 189/420 | 27 × 420 = 60 × 189 |
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.
54/120 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 3 to get 9/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
27/60 equals 0.45 as a decimal and 45% as a percentage.