Yellow Star
How to Add Two Rational Numbers?
BY Team Aakash Byjus
Step-by-Step Guide
Rational Numbers Definition: A number that can be expressed as p/q, where p and q are integers and q≠0 is a rational number.
Rational Numbers
The set of Rational numbers is represented by the letter "Q."
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Addition 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.
- Add the numerators.
- Simplify to standard
form.
Example
1. Write the rational numbers in standard form
Follow the steps below
Case 2
When the rational numbers have a different denominator.
2. Find the L.C.M of denominators
Continuation..
3. Express each rational number with a common denominator, which is the L.C.M of the denominators
4. Now, we should add the numbers as in case 1.
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.
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 the question based on case 2
1. Every positive rational number is greater than zero.
Key Points
2. Every negative rational number is less than zero.