Arithmetic operations on Rational numbers
This term involves performing basic mathematical calculations such as addition, subtraction, multiplication, and division. Let’s explore each operation:
Addition (or Sum) of Rational Numbers
- To add two rational numbers (fractions), find a common denominator.
- Add or subtract the numerators while keeping the common denominator unchanged.
- Simplify the result if possible.
- Example: 3/4 + 1/6 = 11/12
- Explanation: 3/4 + 1/6 = 9/12 + 2/12 = 11/12
Subtraction (or Difference) of Rational Numbers
- Similar to addition, find a common denominator.
- Subtract the numerators while maintaining the common denominator.
- Simplify the result if necessary.
- Example: 5/8 – 1/4 = 3/8
- Explanation: 5/8 – 1/4 = 5/8 – 2/8 = 3/8
Multiplication of Rational Numbers
- Multiply the numerators together to get the new numerator.
- Multiply the denominators together to get the new denominator.
- Simplify the result if possible.
- Example: 2/3 X 4/5 = 8/15
- Explanation: 2/3 X 4/5 = (2 X 4) / (3 X 5 ) =8/15
Division of Rational Numbers
- Invert (flip) the second fraction (divisor).
- Multiply the first fraction (dividend) by the inverted second fraction.
- Simplify the result if necessary.
- Example: 3/4 ÷ 2/3 = 9/8
- Explanation: 3/4 ÷ 2/3 = 3/4 X 3/2 =9/8
Read More About
Rational and Irrational Numbers
Rational numbers and Irrational numbers are real numbers with unlike characteristics. Rational numbers are the numbers which can be represented in the A/B form where B ≠ 0. Irrational numbers are the numbers that cannot be represented in A / B form. In this article, we’ll learn the concepts of rational numbers and irrational numbers and explore the difference between them.
Table of Content
- What is Rational number?
- How to identify rational numbers?
- What are Irrational Numbers?
- How to Identify Irrational Numbers?
- How to Classify Rational and Irrational Numbers?
- Difference Between Rational and Irrational Numbers