How to Find Fractions Equivalent to 45/50
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
45 × 2 = 90 and 50 × 2 = 100.
3. Verify the ratio
45 × 100 and 50 × 90 both equal 4500.
Direct answer
90/100, 135/150, and 180/200 are equivalent to 45/50.
Enter whole-number numerator and denominator values. Results update instantly.
9/10
0.9
90%
90/100 · 135/150 · 180/200
Use the same non-zero number for both terms; start with 2.
45 × 2 = 90 and 50 × 2 = 100.
45 × 100 and 50 × 90 both equal 4500.
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 | (45 × 2) / (50 × 2) | 90/100 | 45 × 100 = 50 × 90 |
| × 3 | (45 × 3) / (50 × 3) | 135/150 | 45 × 150 = 50 × 135 |
| × 4 | (45 × 4) / (50 × 4) | 180/200 | 45 × 200 = 50 × 180 |
| × 5 | (45 × 5) / (50 × 5) | 225/250 | 45 × 250 = 50 × 225 |
| × 6 | (45 × 6) / (50 × 6) | 270/300 | 45 × 300 = 50 × 270 |
| × 7 | (45 × 7) / (50 × 7) | 315/350 | 45 × 350 = 50 × 315 |
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.
90/100 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 5 to get 9/10.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
45/50 equals 0.9 as a decimal and 90% as a percentage.