4/6,3/3,30/181,2/9,89% Order Fractions from Least to Greatest
4/6,3/3,30/181,2/9,89% 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 4/6,3/3,30/181,2/9,89% from Least to Greatest
Convert 89% to fraction i.e. 89/100
Given Input Value = 89%
Place the Percentage Value at the top over 100.
= 89/100
Therefore, 89% in Fraction is 89/100.
The given inputs are 4/6,3/3,30/181,2/9,89%
After coverting each input to fraction format we get 4/6,3/3,30/181,2/9,89/100
Separate the denominators 6,3,181,9,100
Calculate the LCM of 6,3,181,9,100 i.e. 162900
Arrange the Inputs 6,3,181,9,100 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 | 6, 3, 181, 9, 100 |
3 | 3, 3, 181, 9, 50 |
1, 1, 181, 3, 50 |
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 3 x 1 x 1 x 181 x 3 x 50 = 162900
Therefore, LCM of 6,3,181,9,100 is 162900
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(6, 3) = 3
LCM(6, 3) = ( 6 x 3 ) / 3
LCM(6, 3) = 18 / 3
LCM(6, 3) = 6
Step2:
Here we consider the LCM from the above i.e. 6 as first number and the next as 181
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(6, 181) = 1
LCM(6, 181) = ( 6 x 181 ) / 1
LCM(6, 181) = 1086 / 1
LCM(6, 181) = 1086
Step3:
Here we consider the LCM from the above i.e. 1086 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1086, 9) = 3
LCM(1086, 9) = ( 1086 x 9 ) / 3
LCM(1086, 9) = 9774 / 3
LCM(1086, 9) = 3258
Step4:
Here we consider the LCM from the above i.e. 3258 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3258, 100) = 2
LCM(3258, 100) = ( 3258 x 100 ) / 2
LCM(3258, 100) = 325800 / 2
LCM(3258, 100) = 162900
LCM of 6,3,181,9,100 is 162900
Fractions after converting to a common denominator
108600/162900,162900/162900,27000/162900,36200/162900,144981/162900
Arrange fractions in ascending order
27000/162900 < 36200/162900 < 108600/162900 < 144981/162900 < 162900/162900
Ascending Order arrangements from Least to Greatest we get:
30/181 < 2/9 < 4/6 < 89% < 3/3
Ordering Fractions Calculation Examples
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FAQs on 4/6,3/3,30/181,2/9,89% Ordering Fractions From Least to Greatest
1. What is the ascending order of 4/6,3/3,30/181,2/9,89% ?
The order of 4/6,3/3,30/181,2/9,89% from least to greatest is 30/181 < 2/9 < 4/6 < 89% < 3/3
2. How to Order 4/6,3/3,30/181,2/9,89% from least to greatest?
To order a given set of fractions 4/6,3/3,30/181,2/9,89% 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., 30/181 < 2/9 < 4/6 < 89% < 3/3 .
3. How to Sort 4/6,3/3,30/181,2/9,89% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 4/6,3/3,30/181,2/9,89% and click on the calculate button to see the result ie., 30/181 < 2/9 < 4/6 < 89% < 3/3 .