How to Find Fractions Equivalent to 1/30
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 30 × 2 = 60.
3. Verify the ratio
1 × 60 and 30 × 2 both equal 60.
Direct answer
2/60, 3/90, and 4/120 are equivalent to 1/30.
Enter whole-number numerator and denominator values. Results update instantly.
1/30
0.033333…
3.333333%
2/60 · 3/90 · 4/120
Use the same non-zero number for both terms; start with 2.
1 × 2 = 2 and 30 × 2 = 60.
1 × 60 and 30 × 2 both equal 60.
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 | (1 × 2) / (30 × 2) | 2/60 | 1 × 60 = 30 × 2 |
| × 3 | (1 × 3) / (30 × 3) | 3/90 | 1 × 90 = 30 × 3 |
| × 4 | (1 × 4) / (30 × 4) | 4/120 | 1 × 120 = 30 × 4 |
| × 5 | (1 × 5) / (30 × 5) | 5/150 | 1 × 150 = 30 × 5 |
| × 6 | (1 × 6) / (30 × 6) | 6/180 | 1 × 180 = 30 × 6 |
| × 7 | (1 × 7) / (30 × 7) | 7/210 | 1 × 210 = 30 × 7 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
2/60 is one equivalent fraction because both terms were multiplied by 2.
Yes. 1/30 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
1/30 equals 0.033333… as a decimal and 3.333333% as a percentage.