Least To Greatest Fraction Calculator
Use our least to greatest fraction calculator to instantly order fractions and other numbers from least to greatest or greatest to least.
In order1/2 < 2/3 < 3/4 < 5/6least to greatest
Smallest1/2
Largest5/6
Common denominator12
Ordered
| Input | Lowest terms | Over the LCD | Decimal |
|---|---|---|---|
| 1/2 | 1/2 | 6/12 | 0.5 |
| 2/3 | 2/3 | 8/12 | 0.66666667 |
| 3/4 | 3/4 | 9/12 | 0.75 |
| 5/6 | 5/6 | 10/12 | 0.83333333 |
The method
convert to a common denominator, then order the numerators
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.