To compare and sort multiple fractions, they should either have the same denominator or the same numerator.
The operation of comparing fractions:
1/3 and 21
Analyze the fractions to be compared and ordered, by category:
Positive fractions:
21 is a positive improper fraction, whose value is larger than or equal to 1.
1/3 is a positive proper fraction, whose value is less than 1.
The larger fraction is the improper one.
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 = ...
::: The operation of comparing fractions :::
The final answer: