How to Find Fractions Equivalent to 8/30
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
8 × 2 = 16 and 30 × 2 = 60.
3. Verify the ratio
8 × 60 and 30 × 16 both equal 480.
Direct answer
16/60, 24/90, and 32/120 are equivalent to 8/30.
Enter whole-number numerator and denominator values. Results update instantly.
4/15
0.266667…
26.666667%
16/60 · 24/90 · 32/120
Use the same non-zero number for both terms; start with 2.
8 × 2 = 16 and 30 × 2 = 60.
8 × 60 and 30 × 16 both equal 480.
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 | (8 × 2) / (30 × 2) | 16/60 | 8 × 60 = 30 × 16 |
| × 3 | (8 × 3) / (30 × 3) | 24/90 | 8 × 90 = 30 × 24 |
| × 4 | (8 × 4) / (30 × 4) | 32/120 | 8 × 120 = 30 × 32 |
| × 5 | (8 × 5) / (30 × 5) | 40/150 | 8 × 150 = 30 × 40 |
| × 6 | (8 × 6) / (30 × 6) | 48/180 | 8 × 180 = 30 × 48 |
| × 7 | (8 × 7) / (30 × 7) | 56/210 | 8 × 210 = 30 × 56 |
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.
16/60 is one equivalent fraction because both terms were multiplied by 2.
No. Divide the terms by 2 to get 4/15.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
8/30 equals 0.266667… as a decimal and 26.666667% as a percentage.