Put a mix of decimals, fractions, and mixed numbers in order
key notes:
To compare decimal numbers and mixed numbers, convert all of the numbers to decimal form.
Least to Greatest Calculator
Enter the fractions, integers, mixed numbers, percent, or decimal values separated by a comma. Hit the Calculate button to get the fractions in the least to greatest or greatest to least form using the ordering fractions calculator.
The least to greatest calculator is an online tool that can be used to order fractions from least to greatest (ascending order) and greatest to least (descending order) as well. This number sorter also tells us the total number of fractions and the least common denominator as well. By using this tool, you can order:
- Fractions
- Decimals
- Whole Numbers
- Percentages
Moreover, to greatest-to-least calculator converts mixed numbers to fractions and fractions to decimals.
How to order fractions?
There are two methods to order fractions. We can arrange them by converting all fractions to decimals and then compare them. In the second method, we arrange fractions by taking least common denominator (LCD).
Here we will discuss fractions to decimal method to order fractions without using a number organizer.
Example:
Arrange the following fractions in ascending and descending order.
2/4, 5/2, 3/7, 9/4, 6/5
Solution:
Step 1: Convert all fractions to decimals to put these numbers in order.
- 2/4 = 0.5
- 5/2 = 2.5
- 3/7 = 0.42
- 9/4 = 2.25
- 6/5 = 1.2
Step 2: Compare all decimal values and arrange them accordingly.
Ascending Order = 0.42, 0.5, 1.2, 2.25, 2.5
Write the corresponding fractions in the same order.
Ascending Order = 3/7, 2/4, 6/5, 9/4, 5/2
Descending Order = 2.5, 2.25, 1.2, 0.5, 0.42
Place the corresponding fractions.
Descending Order = 5/2, 9/4, 6/5, 2/4, 3/7
Learn with an example
Put these numbers in order from least to greatest.
- 8.5
- 7 1/8
- 9 9/10
Convert all of the numbers to decimal form.
7 1/8=7.125
9 9/10=9.9
The numbers, written as decimals, in order from least to greatest, are:
7.125<8.5<9.9
So, the correct answer is: 7 1/8 –> 8.5 –> 9 9/10
Put these numbers in order from least to greatest.
- 9 7/8
- 8.3
- 9 3/4
Convert all of the numbers to decimal form.
9 3/4 = 9.75
9 7/8 = 9.875
The numbers, written as decimals, in order from least to greatest are:
8.3<9.75<9.875
So, the correct answer is: 8.3 –> 9 3/4 –> 9 7/8
Put these numbers in order from smallest to largest.
- 4/5
- 1/2
- 0.4
Convert all of the numbers to decimal form.
1/2 = 0.5
4/5 = 0.8
The numbers, written as decimals, in order from smallest to largest are:
0.4 < 0.5 < 0.8
So, the correct answer is:
Let’s practice: