Enter a set of fractions, choose a sorting order, and get the sorted results.
A Fractions Sorter is a practical tool that simplifies the task of organizing fractions in order, whether ascending or descending. It handles various data types, including simple fractions, mixed numbers, integers, decimals, and percentages. All you need to do is input the data, select the sorting order, and the tool will process the data and return the results automatically. This is particularly useful for tasks such as comparing grades, adjusting recipe proportions, or analyzing data distributions.
Before sorting fractions, it's important to understand how to compare fractions. Here are two common methods:
Convert fractions to have the same denominator using the least common multiple, then compare the numerators.
Example: Compare \(\frac{2}{3}\) and \(\frac{3}{5}\):
Convert \(\frac{2}{3}\) to \(\frac{10}{15}\).
Convert \(\frac{3}{5}\) to \(\frac{9}{15}\).
Since \(10 > 9\), \(\frac{2}{3} > \frac{3}{5}\).
Convert fractions into decimals and compare the values.
Example: Compare \(\frac{1}{4}\) and \(\frac{1}{3}\):
\(\frac{1}{4} = 0.25\)
\(\frac{1}{3} \approx 0.333\)
Since \(0.25 < 0.333\), \(\frac{1}{4} < \frac{1}{3}\).
Note: Spaces should only be used between the whole number and fraction parts of mixed numbers. Avoid using spaces as delimiters for other data types.
- Input: 2/5, 1/2, 3/4, 1.5, 25%, Descending, Result: 1.5 > 3/4 > 1/2 > 2/5 > 25%.
- Input: 5, 1/6, 3 1/2, 0.8, Ascending, Result: 1/6 < 0.8 < 3 1/2 < 5.
- Input: 1/4, 1 2/3, 2.2, 75%, Descending, Result: 2.2 > 1 2/3 > 75% > 1/4.
- Input: 4/5, 1/3, 0.6, 0.25, Ascending, Result: 0.25 < 1/3 < 0.6 < 4/5.