We will discuss here how to arrange the fractions in descending order.
Solved examples for arranging in descending order:
1. Arrange the following fractions 5/6, 7/10, 11/20 in descending order.
First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. of 6, 10 and 20 = 2 × 5 × 3 × 1 × 2 = 60
5/6 = 5 × 10/6 × 10 = 50/60 (because 60 ÷ 6 = 10)
7/10 = 7 × 6/10 × 6 = 42/60 (because 60 ÷ 10 = 6)
11/20 = 11 × 3/20 × 3 = 33/60 (because 60 ÷ 20 = 3)
Now we compare the like fractions 50/60, 42/60 and 33/60
Comparing numerators, we find that 50 > 42 > 33.
Therefore, 50/60 > 42/60 > 33/60 or 5/6 > 7/10 > 11/20
The descending order of the fractions is 5/6, 7/10, 11/20.
2. Arrange the following fractions 1/2, 3/4, 7/8, 5/12 in
descending order.
First we find the L.C.M. of the denominators of the fractions to make the denominators same.
L.C.M. of 2, 4, 8 and 12 = 24
1/2 = 1 × 12/2 × 12 = 12/24 (because 24 ÷ 2 = 12)
3/4 = 3 × 6/4 × 6 = 18/24 (because 24 ÷ 10 = 6)
7/8 = 7 × 3/8 × 3 = 21/24 (because 24 ÷ 20 = 3)
5/12 = 5 × 2/12 × 2 = 10/24 (because 24 ÷ 20 = 3)
Now we compare the like fractions 12/24, 18/24, 21/24 and 10/24.
Comparing numerators, we find that 21 > 18 > 12 > 10.
Therefore, 21/24 > 18/24 > 12/24 > 10/24 or 7/8 > 3/4 > 1/2 > 5/12
The descending order of the fractions is 7/8 > 3/4 > 1/2 > 5/12.
Related Concept
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● Conversion of Fractions into Fractions having Same Denominator
● Conversion of a Fraction into its Smallest and Simplest Form
● Addition of Fractions having the Same Denominator
● Subtraction of Fractions having the Same Denominator
● Addition and Subtraction of Fractions on the Fraction Number Line
4th Grade Math Activities
From Fractions in Descending Order to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.