Learn how to arrange Rational Numbers in Descending Order or Decreasing Order. In order to make you familiar with the concept of Rational Numbers in Decreasing Order we even listed examples explaining the step by step process. Check out the general method to arrange rational numbers from Largest to Smallest easily.
Procedure to arrange Rational Numbers from Largest to Smallest
Follow the easy guidelines on how to arrange Rational Numbers in Decreasing Order. They are as follows
Step 1: Express the given rational number in terms of the positive denominator.
Step 2: Find out the Least Common Denominator of the Positive Denominators.
Step 3: Express the given rational numbers using the LCM as Common Denominator.
Step 4: Compare the numerators and the one having the highest numerator is the largest one.
Solved Examples on Rational Numbers in Decreasing Order
1. Arrange the numbers 5/-3, 10/-7, -5/8 in Descending Order?
Solution:
Given Rational Numbers are 5/-3, 10/-7, -5/8
Express the Rational Numbers with Positive Denominators
5/-3 = 5*(-1)/-3*(-1) = -5/3
10/-7 = 10*(-1)/-7*(-1) = -10/7
-5/8 already has a positive denominator
Find the LCM of Positive Denominators
LCM of 3, 7, 8 is 168
Express the Rational Numbers with Common Denominator with the LCM obtained.
-5/3 = -5*56/3*56 = -280/ 168
-10/7 = -10*24/7*24 = -240/168
-5/8 = -5*21/8*21 = -105/168
Check the numerators of the rational numbers. Since all of them are negative numbers the lesser one is the highest fraction.
Therefore, Rational Numbers in Descending Order are -5/8, 10/-7, 5/-3.
2. Arrange the Rational Numbers 4/9, 5/6, 7/12 in Descending Order?
Solution:
Given Rational Numbers are 4/9, 5/6, 7/12
Find the LCM of the Positive Denominators
LCM of 9, 6, 12 is 36
Express the Rational Numbers in terms of Common Denominator using the LCM obtained earlier.
4/9 = 4*4/9*4 = 16/36
5/6 = 5*6/6*6 = 30/36
7/12 = 7*3/12*3 = 21/36
Check the numerators of the rational numbers and the one having highest numerator is the highest rational number.
5/6, 7/12, 4/9 is the Descending Order of Rational Numbers.
3. Arrange the Rational Numbers 3/8, 5/7, 2/9 in Descending Order?
Solution:
Given Rational Numbers are 3/8, 5/7, 2/9
Determine the LCM of Positive Denominators.
LCM of 8, 7, 9 is 504.
Express the rational numbers with common denominator using the LCM obtained.
3/8 = 3*63/8*63 = 189/504
5/7 = 5*72/7*72 = 360/504
2/9 = 2*56/9*56 = 112/504
Check the numerators of the rational numbers and arrange the ones from highest to lowest.
Therefore Rational Numbers arranged in Descending Order is 5/7, 3/8, 2/9.
