BY Team Aakash Byju's
How to Subtract Two Rational Numbers:
Step-by-Step Guide
Rational Numbers
A number that can be expressed in the form p/q, where p and q are integers, and q≠0 is a Rational number.
Click Here To Attend Free Trail Class
Download Aakash App
The set of Rational numbers is represented by the letter "Q."
Subtraction of Rational numbers
There are two different cases
Case 1
When the rational numbers have the same denominator
Case 2
When the rational numbers have a different denominator
Case 1
When the rational numbers have the same denominator
Follow the Steps Below
- See that the
denominators are the
same.
- Subtract the numerators
- Simplify to standard
form
Example
Case 2
When the rational numbers have a different denominator.
Follow the steps below
Write the rational numbers in their standard form
Find the L.C.M of the denominators
Express each rational number with a common denominator, which is the L.C.M of the denominators
Now, we subtract the numbers just like we did in case 1.
Standard Form of a Rational Number
The rational number p/q is said to be in standard form if p and q are integers with no other common divisor than one and q is positive.
Example of Standard Form of a Rational Number
Let's solve a question based on case 2