How to Find Fractions Equivalent to 18/40
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
18 × 2 = 36 and 40 × 2 = 80.
3. Verify the ratio
18 × 80 and 40 × 36 both equal 1440.
Direct answer
36/80, 54/120, and 72/160 are equivalent to 18/40.
Enter whole-number numerator and denominator values. Results update instantly.
9/20
0.45
45%
36/80 · 54/120 · 72/160
Use the same non-zero number for both terms; start with 2.
18 × 2 = 36 and 40 × 2 = 80.
18 × 80 and 40 × 36 both equal 1440.
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 | (18 × 2) / (40 × 2) | 36/80 | 18 × 80 = 40 × 36 |
| × 3 | (18 × 3) / (40 × 3) | 54/120 | 18 × 120 = 40 × 54 |
| × 4 | (18 × 4) / (40 × 4) | 72/160 | 18 × 160 = 40 × 72 |
| × 5 | (18 × 5) / (40 × 5) | 90/200 | 18 × 200 = 40 × 90 |
| × 6 | (18 × 6) / (40 × 6) | 108/240 | 18 × 240 = 40 × 108 |
| × 7 | (18 × 7) / (40 × 7) | 126/280 | 18 × 280 = 40 × 126 |
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.
36/80 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 9/20.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
18/40 equals 0.45 as a decimal and 45% as a percentage.