To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of sorting fractions in ascending order:
4, 1/3, 13
Analyze the fractions to be compared and ordered, by category:
1 positive proper fraction: 1/3
positive integer numbers: 4, 13
How to compare and sort the fractions in ascending order, by categories:
- any positive proper fraction is smaller than...
- any positive integer number.
Sort the positive integer numbers in ascending order:
4 and 13
Sort the integer numbers in ascending order.
This is a simple case of comparing and sorting integer numbers.
The integer numbers are a particular case of those fractions that have a denominator equal to 1.
Any integer number 'n' can be written as a fraction with a denominator of 1. Starting from here, by multiplying both the numerator and the denominator by the same number, an integer number can be written as a multitude of equivalent fractions:
n = n/1 = (2 × n)/2 = (3 × n)/3 = ...
Example: 3 = 3/1 = (2 × 3)/2 = 6/2 = (3 × 3)/3 = 9/3 = ...