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# Operations of Rational Numbers

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Operations of Rational Numbers
In mathematics, we generally deal with four types of basic operations called as addition, subtraction,
multiplication, and division. We can easily perform these four kinds of operations on different type of
numbers. We all know that Algebra is an important branch of mathematics and in this we have to tackle
different type of numbers. Rational numbers are among different Types of Numbers, and on Rational
Numbers we can easily perform all these different types of operations. Performing Operations on
Rational Numbers is not a big task if you understand the concepts clearly.

Multiplications of rational numbers :- Rational numbers are 'p / q' type, with one condition that here
'q' is not zero. We perform basic operations like addition, subtraction, multiplication, and division on
the Rational Numbers. All the operation on the rational numbers are quiet same as the operations we
have performed on the normal numbers. All the operations are very much similar with very simple
difference, we have introduced here the format of 'p/q', so we have to use some of the simple and basic
rule to do operation on them. We are here just focusing on the multiplication of the rational numbers so
we go through the rational numbers and their multiplication in this topic. The method for the
multiplication is little different to that of subtraction and addition of rational numbers. In simple terms
we can define, multiplication of the numbers as the addition of the numbers by grouping them all

Math.Edurite.com                                                             Page : 1/3
Addition of Rational Numbers :- Rational number is represented by Q. Q is any real number which
can be expressed in the form of x/y, provided that y is not equal to zero and x and y are integers.
Addition of Rational Numbers play a very important role in various mathematical calculations.
Steps for addition of rational numbers:
1. Write the rational numbers and check whether the denominators are same or not.
2. If both the rational numbers have same denominators then we can directly add the numerators and
3. Now if the denominators are not same then we take LCM by taking a common term which is
divisible by both the denominator.
4. And then we have to divide that common number by each denominator and multiply the result by
respective numerators and after that the addition becomes so easy and we obtain the answer by just

Subtraction of Rational Numbers ;- Subtraction of Rational Numbers plays a very important role in
various mathematical calculations, here are some steps for subtracting two or more rational numbers:
For subtraction we need to check whether the denominator of the given numbers are same or not If both
the rational numbers have same denominators then we can directly subtract numerators. Now if the
denominators are not same then we just need to equalize the denominator by taking LCM of both the
denominator and then we have to subtract the terms. After taking the LCM of denominators we just
need to subtract the numerator terms and simplify the result.

Division of Rational Numbers ;- Rational Number is any real number which can be represented in the
form of x/y if y is not equal to zero and x, y are integers. It is very necessary to understand all the
operations that can be performed on Rational Numbers such as addition, subtraction, multiplication,
and division. The division of Rational Numbers is a bit complex operation and we need to follow some
steps to perform the Division of Rational Numbers. Write the numbers in the form of rational numbers
i.e. x/y In the second step I would like to tell you a very interesting thing about division of rational
numbers that division of rational numbers can be easily carried out by converting the problem in
multiplication form. Well how it can be done that is right here. Find the reciprocal of the rational
number, Multiply the rational number which is in numerator by the reciprocal then We simplify our

Math.Edurite.com                                                            Page : 2/3
Thank You

Math.Edurite.Com

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