Addition of Rational Numbers
Addition of two rational numbers can be done using the following step-by-step method where the addition of 3/4 and 1/6 is explained as an example.
Step 1: Find the common denominator (LCD) for both the rational number. i.e.,
Common denominator for 4 and 6 is 12.
Step 2: Convert both the rational number to equivalent fractions using the common denominator. i.e.,
3/4 = (3 × 3)/(4 × 3) = 9/12
1/6 = (1 × 2)/(6 × 2) = 2/12
Step 3: Add numerators of the equivalent fractions obtained in step 2. i.e.,
9/12 + 2/12 = (9 + 2)/12 = 11/12
Step 4: Simplify the resulting fraction if possible. i.e.,
11/12 is already in its simplest form.
Thus, Addition of 3/4 and 1/6 is 11/12 .
Rational Numbers: Definition, Examples, Worksheet
Rational Numbers are numbers written in terms of the ratio of two integers, where the denominator is not zero. In maths, Rational numbers are a type of real numbers that can be written in the form of p/q, where q ≠ 0. Any fraction is a rational number provided its denominator should not be zero.
Examples of Rational Numbers include 12/21, 34/2, -22 etc. In other words, a rational number is any number that can be written in the form of a/b, where a and b are integers and b is not equal to zero.
In this article, we have provided everything related to Rational numbers including, definitions, examples, types, a list of rational numbers, and how to identify rational numbers.
Table of Content
- What is a Rational Numbers?
- Examples of Rational Numbers
- Representation of Rational Numbers
- Types of Rational Numbers
- How to Identify Rational Numbers?
- List of Rational Numbers in Number System
- Arithmetic Operations on Rational Numbers
- Addition of Rational Numbers
- Subtraction of Rational Numbers
- Multiplication of Rational Numbers
- Division of Rational Numbers
- Equivalent Rational Numbers
- Decimal Expansion of Rational Numbers
- Multiplicative Inverse of a Rational Number
- Rational Numbers Properties
- Find Rational Numbers between Two Rational Numbers?
- Representing Rational Numbers on Real Line
- Rational and Irrational Numbers