Equivalent Rational Numbers
Equivalent Rational Numbers are those which when reduced to the simplest form the their values are equal. They can be obtained by multiplying or dividing a the numerator and denominator by a fixed number. We can learn it through the following example.
Example: Find the first three equivalent rational numbers of 5/6
Solution:
First three equivalent rational numbers of 5/6 are
(5×2)/(6×2) = 10/12
(5×3)/(6×3) = 15/18
(5×4)/(6×4) = 20/24
Example: Check if 20/16 is equivalent to 10/8
Solution:
Simplest form of 20/16 is 5/4
Simplest form of 10/6 is 5/4
Hence, 20/16 is equivalent to 10/8
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