34/20,84/43,14/41,8,0.4,5% Order Fractions from Least to Greatest
34/20,84/43,14/41,8,0.4,5% 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 34/20,84/43,14/41,8,0.4,5% from Least to Greatest
Convert 0.4 decimal to fraction
Given Decimal is 0.4.
The number of decimals after the point are 1.
The Decimal is divided with 10.
The Fraction can be written as,
= 04/10
= 2/5
The given decimal 0.4 in fraction form is 2/5.
Convert 5% to fraction i.e. 1/20
Given Input Value = 5%
Place the Percentage Value at the top over 100.
= 5/100
The given fraction is 5/100
On reducing the fraction, we get the exact form
5/100
= 1/20
The exact form of the fraction is 1/20.
In the decimal form, the fraction can be written as 0.05.
The fraction can be written as 1/20.
The given inputs are 34/20,84/43,14/41,8,0.4,5%
After coverting each input to fraction format we get 34/20,84/43,14/41,8/1,2 / 5,1/20
Separate the denominators 20,43,41,1,5,20
Calculate the LCM of 20,43,41,1,5,20 i.e. 35260
Arrange the Inputs 20,43,41,1,5,20 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 | 20, 43, 41, 1, 5, 20 |
| 2 | 10, 43, 41, 1, 5, 10 |
| 5 | 5, 43, 41, 1, 5, 5 |
| 1, 43, 41, 1, 1, 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 5 x 1 x 43 x 41 x 1 x 1 x 1 = 35260
Therefore, LCM of 20,43,41,1,5,20 is 35260
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(20, 43) = 1
LCM(20, 43) = ( 20 x 43 ) / 1
LCM(20, 43) = 860 / 1
LCM(20, 43) = 860
Step2:
Here we consider the LCM from the above i.e. 860 as first number and the next as 41
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(860, 41) = 1
LCM(860, 41) = ( 860 x 41 ) / 1
LCM(860, 41) = 35260 / 1
LCM(860, 41) = 35260
Step3:
Here we consider the LCM from the above i.e. 35260 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(35260, 1) = 1
LCM(35260, 1) = ( 35260 x 1 ) / 1
LCM(35260, 1) = 35260 / 1
LCM(35260, 1) = 35260
Step4:
Here we consider the LCM from the above i.e. 35260 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(35260, 5) = 5
LCM(35260, 5) = ( 35260 x 5 ) / 5
LCM(35260, 5) = 176300 / 5
LCM(35260, 5) = 35260
Step5:
Here we consider the LCM from the above i.e. 35260 as first number and the next as 20
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(35260, 20) = 20
LCM(35260, 20) = ( 35260 x 20 ) / 20
LCM(35260, 20) = 705200 / 20
LCM(35260, 20) = 35260
LCM of 20,43,41,1,5,20 is 35260
Fractions after converting to a common denominator
59942/35260,68880/35260,12040/35260,282080/35260,14104/35260,1763/35260
Arrange fractions in ascending order
1763/35260 < 12040/35260 < 14104/35260 < 59942/35260 < 68880/35260 < 282080/35260
Ascending Order arrangements from Least to Greatest we get:
5% < 14/41 < 0.4 < 34/20 < 84/43 < 8
Ordering Fractions Calculation Examples
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FAQs on 34/20,84/43,14/41,8,0.4,5% Ordering Fractions From Least to Greatest
1. What is the ascending order of 34/20,84/43,14/41,8,0.4,5% ?
The order of 34/20,84/43,14/41,8,0.4,5% from least to greatest is 5% < 14/41 < 0.4 < 34/20 < 84/43 < 8
2. How to Order 34/20,84/43,14/41,8,0.4,5% from least to greatest?
To order a given set of fractions 34/20,84/43,14/41,8,0.4,5% 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., 5% < 14/41 < 0.4 < 34/20 < 84/43 < 8 .
3. How to Sort 34/20,84/43,14/41,8,0.4,5% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 34/20,84/43,14/41,8,0.4,5% and click on the calculate button to see the result ie., 5% < 14/41 < 0.4 < 34/20 < 84/43 < 8 .