# Least To Greatest Fraction Calculator

URL: https://speedycalculator.com/calculators/math/least-to-greatest-fractions/
Last updated: 2026-10-30

> The least to greatest fraction calculator sorts fractions, mixed numbers, decimals and percentages in ascending or descending order, showing them over a common denominator.

## Inputs

- Enter fractions, mixed numbers, decimals or percents separated by commas
- Order

## Results

- Sorted
- Decimal values
- Common denominator

## Formula

```
Convert each value to an exact fraction, rewrite over the LCD and order the numerators
```

## Explanation

Ordering a mix of 1/2, 0.3, 2/3 and 45% is a common homework task and a real-life one (comparing discounts or test results). Converting everything to the same form makes the order obvious.

### How to use the Least To Greatest Fraction Calculator

- **Enter fractions, mixed numbers, decimals or percents separated by commas**
- **Order**

Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.

### How it works

Each entry is converted exactly to a fraction (percentages are divided by 100, mixed numbers converted), then all are compared. For readability the common-denominator form and decimal values are shown.

## Worked example

Inputs — Enter fractions, mixed numbers, decimals or percents separated by commas: 1/2, 0.3, 2/3, 45%, 1 1/8; Order: Least to greatest.

Results — **Sorted = 0.3 < 45% < 1/2 < 2/3 < 1 1/8**; Decimal values = 0.3 = 0.3
45% = 0.45
1/2 = 0.5
2/3 = 0.66666667
1 1/8 = 1.125; Common denominator = Over the common denominator 120: 36/120, 54/120, 60/120, 80/120, 135/120.

## Key terms

- **Ascending order**: From least to greatest.

## FAQ

**How do I order fractions from least to greatest?**
Rewrite them with a common denominator, or convert to decimals, then compare.

**How do I type a mixed number?**
With a space: 1 1/8.

**Can I mix percentages and fractions?**
Yes – 45% is read as 45/100.

**What if two values are equal?**
They appear next to each other in the list.


## Sources

- [OpenStax – Prealgebra 2e](https://openstax.org/details/books/prealgebra-2e)
- [Wolfram MathWorld – Fraction](https://mathworld.wolfram.com/Fraction.html)