How to Find Fractions Equivalent to 1/10
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
1 × 2 = 2 and 10 × 2 = 20.
3. Verify the ratio
1 × 20 and 10 × 2 both equal 20.
Direct answer
2/20, 3/30, and 4/40 are equivalent to 1/10.
Enter whole-number numerator and denominator values. Results update instantly.
1/10
0.1
10%
2/20 · 3/30 · 4/40
Use the same non-zero number for both terms; start with 2.
1 × 2 = 2 and 10 × 2 = 20.
1 × 20 and 10 × 2 both equal 20.
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) / (10 × 2) | 2/20 | 1 × 20 = 10 × 2 |
| × 3 | (1 × 3) / (10 × 3) | 3/30 | 1 × 30 = 10 × 3 |
| × 4 | (1 × 4) / (10 × 4) | 4/40 | 1 × 40 = 10 × 4 |
| × 5 | (1 × 5) / (10 × 5) | 5/50 | 1 × 50 = 10 × 5 |
| × 6 | (1 × 6) / (10 × 6) | 6/60 | 1 × 60 = 10 × 6 |
| × 7 | (1 × 7) / (10 × 7) | 7/70 | 1 × 70 = 10 × 7 |
A power-of-ten denominator connects directly to decimal place value, percentages, money, and metric measurements.
Learning tip: For tenths and hundredths, the denominator often tells you where to place the decimal point.
2/20 is one equivalent fraction because both terms were multiplied by 2.
Yes. 1/10 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.
1/10 equals 0.1 as a decimal and 10% as a percentage.