The mathematical Operation of dividing one rational number with other rational number is called the Division of Rational Numbers. Check out the detailed procedure for solving problems on Dividing Rational Numbers. See Examples related to the Rational Numbers Division and learn how to solve various questions related easily. Usually, a Rational Number can’t be divided by another one due to its complexity.
How to Divide Rational Numbers?
Follow the below guidelines to solve problems on the Division of Rational Numbers easily. They are along the lines
Step 1: Firstly, express the given Rational Numbers in the form of a fraction.
Step 2: Keep the numerator part as it is and multiply with the reciprocal of the denominator in rational number.
Step 3: Find the Product of the Rational Numbers which is nothing but the Division of Rational Numbers.
Let us consider m, n to be two rational numbers then m ÷ n = m*1/n. The Dividend is the number to be divided i.e. m whereas Divisor is the number dividing the dividend i.e. n. When Dividend is divided by the Divisor the result is called Quotient. Do remember Division by 0 is not defined when you are solving related problems.
Solved Examples on Rational Numbers Division
1. Divide Rational Numbers 9/12 and 5/4?
Solution:
Given Rational Numbers are 9/12 and 5/4
= 9/12÷5/4
= 9/12*4/5
= 9*4/12*5
= 36/60
= 3/5
2. Divide Rational Numbers -3/25 by 4/5?
Solution:
Given Rational Numbers are -3/25 and 4/5
= -3/25÷4/5
= -3/25*5/4
=-3*5/25*4
= -15/100
= -3/20
3. Simplify -7/40 ÷ (-2)/8?
Solution:
= -7/40 ÷ (-2)/8
= -7/40*8/-2
= -7*8/40*-2
= -56/-80
= 7/10
4. Simplify 10/22 ÷ (-5)/8?
Solution:
= 10/22 ÷ (-5)/8
= 10/22*8/-5
= 10*8/22*-5
= 80/-110
= 8/-11