Solved Examples on Division of Rational Numbers
Example 1: Divide 3/4 by 2/5
Solution:
To divide 3/4 by 2/5, first multiply 3/4 by the reciprocal of 2/5 that is 5/2.
[Tex]\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2}[/Tex]
= 15/8
Example 2: Divide 7/9 by 3.
Solution:
Given numbers are 7/9 and 3
We can write 3 as 3/1.
Now the reciprocal of 3/1 is 1/3
On multiplying numerator 7/9 by reciprocal 1/3 we get,
[Tex]\frac{7}{9} \div {3} = \frac{7}{9} \times \frac{1}{3}[/Tex]
= 7/27
Example 3: Evaluate 9/4 ÷ 3/2
Solution:
Given numbers are 9/4 and 3/2
Reciprocal of second number = 2/3
[Tex] \frac{9}{4} \div \frac{3}{2} [/Tex]
[Tex]= \frac{9}{4} \times \frac{2}{3} [/Tex]
[Tex]= \frac{9 \times 2}{4 \times 3} [/Tex]
= 18/12
= 3/2
Division of Rational Numbers
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Some examples of rational numbers are 1/2, -3/2, 5, etc. 5 is whole number which can be written as 5/1 in the form of a fraction. Hence, we can say that a whole number is also a rational number.
In this article, we will understand the various properties of division of rational numbers and the procedure of division of rational numbers.
Table of Content
- Division of Rational Numbers
- How to Divide Rational Numbers
- Properties of Division of Rational Numbers
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