Equivalent Fractions Calculator
The equivalent fractions calculator works out a list of fractions equivalent to the input. It can also tell you if two particular fractions are equivalent or not.
Equivalent fractions3/4, 6/8, 9/12, 12/16, 15/20…
Lowest terms3/4
Decimal0.75
Percentage75%
Equivalents
| Multiplier | Fraction | Decimal |
|---|---|---|
| ×1 | 3/4 | 0.75 |
| ×2 | 6/8 | 0.75 |
| ×3 | 9/12 | 0.75 |
| ×4 | 12/16 | 0.75 |
| ×5 | 15/20 | 0.75 |
| ×6 | 18/24 | 0.75 |
| ×7 | 21/28 | 0.75 |
| ×8 | 24/32 | 0.75 |
| ×9 | 27/36 | 0.75 |
| ×10 | 30/40 | 0.75 |
The method
multiply numerator and denominator by the same number
The rules in one place
- Adding and subtracting needs a common denominator first. The lowest common denominator keeps the numbers smallest, but any common denominator works.
- Multiplying needs no common denominator at all — multiply across the top and across the bottom.
- Dividing means multiplying by the reciprocal: flip the second fraction and multiply.
- Reducing divides top and bottom by their greatest common divisor. It never changes the value.
Why lowest terms matter
6/8 and 3/4 are the same number, but 3/4 is easier to compare, easier to check and conventional in an answer. Reducing also keeps later arithmetic small: multiplying unreduced fractions makes the numbers grow fast, and cancelling first avoids that.