Compare and Order Fractions
Find which fraction is larger or rank a list without rounding decimals. Enter 3/4, 2/3, 0.7 to get 2/3 < 0.7 < 3/4. Negative numbers, mixed numbers, repeating decimals and percentages share the same exact comparison: 0.5, 1/2 and 50% are equal. Both ascending and descending orders appear, with the smallest and largest values and an exact fraction for every entry.
Separate entries with commas, semicolons or new lines. Fractions, mixed numbers, decimals, repeating decimals and percentages work. Use decimal points; commas separate entries.
Exact values in ascending order
For positive denominators, a/b is greater than c/d exactly when a × d is greater than c × b. Negative numerators keep their signs. No decimal rounding is used to decide the order.
Common questions
- Which fraction is bigger?
- For positive denominators, compare cross-products. 3/4 versus 2/3 gives 3 × 3 = 9 and 2 × 4 = 8, so 3/4 is larger. The comparison works with negative numerators too: -3/4 < -2/3.
- How do I order fractions from smallest to largest?
- Enter at least two values separated by commas, semicolons or new lines. The page sorts them exactly in ascending and descending order. 1/2, 3/8, 2/3 becomes 3/8 < 1/2 < 2/3. Spaces within a mixed number stay part of that one entry.
- Can I compare mixed numbers, decimals and percentages?
- Yes. 1 1/2 is 3/2, 0.75 is 3/4 and 25% is 1/4. Repeating decimals use parentheses: 0.(3) is exactly 1/3. A finite 0.3333 is slightly less than 1/3 and is ordered accordingly.
- What happens when two fractions are equal?
- Equivalent values use an equals sign. For 0.5, 1/2, 50%, all three are tied. Equal entries retain their relative order from the input, including in the descending list.
- Does this compare rounded decimals or measurements?
- It compares the exact values written, without rounding or a tolerance band. It does not infer measurement uncertainty or convert units. Use matching units for measurements. Type 1000 without a grouping comma; commas separate list entries.
- How many values can I compare, and are close decimals treated as equal?
- Order uses exact integer cross-products. Each entry is limited to 200 characters and a list to 2,000 entries so sorting remains responsive. No unit conversion or approximate equality tolerance is assumed. Close decimal values are compared as their exact fractions; they are equal only when the rational values match.
Exact fraction arithmetic and comparisons. Decimal previews show a repeating cycle when it is found within 240 displayed digits; longer expansions are cut short and marked. Each numeric entry is limited to 200 characters. The exact fraction remains available.