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.
Formula
Convert each value to an exact fraction, rewrite over the LCD and order the numerators
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.
Frequently asked questions
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.