5/4,2/9,72/281,9/7,25% Order Fractions from Least to Greatest
5/4,2/9,72/281,9/7,25% determine the order of fractions from least to greatest by using our free online Ordering Fractions Calculator & attain the result in no time.
Find the Order of 5/4,2/9,72/281,9/7,25% from Least to Greatest
Convert 25% to fraction i.e. 1/4
Given Input Value = 25%
Place the Percentage Value at the top over 100.
= 25/100
The given fraction is 25/100
On reducing the fraction, we get the exact form
25/100
= 1/4
The exact form of the fraction is 1/4.
In the decimal form, the fraction can be written as 0.25.
The fraction can be written as 1/4.
The given inputs are 5/4,2/9,72/281,9/7,25%
After coverting each input to fraction format we get 5/4,2/9,72/281,9/7,1/4
Separate the denominators 4,9,281,7,4
Calculate the LCM of 4,9,281,7,4 i.e. 70812
Arrange the Inputs 4,9,281,7,4 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
2 | 4, 9, 281, 7, 4 |
2 | 2, 9, 281, 7, 2 |
1, 9, 281, 7, 1 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 2 x 1 x 9 x 281 x 7 x 1 = 70812
Therefore, LCM of 4,9,281,7,4 is 70812
Step1:
Let's calculate the LCM of first two numbers
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4, 9) = 1
LCM(4, 9) = ( 4 x 9 ) / 1
LCM(4, 9) = 36 / 1
LCM(4, 9) = 36
Step2:
Here we consider the LCM from the above i.e. 36 as first number and the next as 281
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(36, 281) = 1
LCM(36, 281) = ( 36 x 281 ) / 1
LCM(36, 281) = 10116 / 1
LCM(36, 281) = 10116
Step3:
Here we consider the LCM from the above i.e. 10116 as first number and the next as 7
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(10116, 7) = 1
LCM(10116, 7) = ( 10116 x 7 ) / 1
LCM(10116, 7) = 70812 / 1
LCM(10116, 7) = 70812
Step4:
Here we consider the LCM from the above i.e. 70812 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(70812, 4) = 4
LCM(70812, 4) = ( 70812 x 4 ) / 4
LCM(70812, 4) = 283248 / 4
LCM(70812, 4) = 70812
LCM of 4,9,281,7,4 is 70812
Fractions after converting to a common denominator
88515/70812,15736/70812,18144/70812,91044/70812,17703/70812
Arrange fractions in ascending order
15736/70812 < 17703/70812 < 18144/70812 < 88515/70812 < 91044/70812
Ascending Order arrangements from Least to Greatest we get:
2/9 < 25% < 72/281 < 5/4 < 9/7
Ordering Fractions Calculation Examples
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- Ordering Fractions 9/5 ,1/2 ,42/464 ,1/5,67%
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- Ordering Fractions 8/2 ,2/6 ,54/612 ,8/7,13%
- Ordering Fractions 1/7 ,9/1 ,23/781 ,8/5,60%
- Ordering Fractions 4/5 ,5/2 ,48/488 ,2/8,13%
FAQs on 5/4,2/9,72/281,9/7,25% Ordering Fractions From Least to Greatest
1. What is the ascending order of 5/4,2/9,72/281,9/7,25% ?
The order of 5/4,2/9,72/281,9/7,25% from least to greatest is 2/9 < 25% < 72/281 < 5/4 < 9/7
2. How to Order 5/4,2/9,72/281,9/7,25% from least to greatest?
To order a given set of fractions 5/4,2/9,72/281,9/7,25% in ascending order from least to greatest, first, convert the mixed numbers to improper fractions and then find the LCD. Later, rewrite the equivalent fractions with the LCD and sort the list with the numerators of equivalent fractions to get final order of fractions ie., 2/9 < 25% < 72/281 < 5/4 < 9/7 .
3. How to Sort 5/4,2/9,72/281,9/7,25% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 5/4,2/9,72/281,9/7,25% and click on the calculate button to see the result ie., 2/9 < 25% < 72/281 < 5/4 < 9/7 .