26/75,13/42,16/85,9,0.4,3% Order Fractions from Least to Greatest
26/75,13/42,16/85,9,0.4,3% 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 26/75,13/42,16/85,9,0.4,3% 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 3% to fraction i.e. 3/100
Given Input Value = 3%
Place the Percentage Value at the top over 100.
= 3/100
Therefore, 3% in Fraction is 3/100.
The given inputs are 26/75,13/42,16/85,9,0.4,3%
After coverting each input to fraction format we get 26/75,13/42,16/85,9/1,2 / 5,3/100
Separate the denominators 75,42,85,1,5,100
Calculate the LCM of 75,42,85,1,5,100 i.e. 35700
Arrange the Inputs 75,42,85,1,5,100 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 | 75, 42, 85, 1, 5, 100 |
| 3 | 75, 21, 85, 1, 5, 50 |
| 5 | 25, 7, 85, 1, 5, 50 |
| 5 | 1, 7, 17, 1, 5, 10 |
| 1, 7, 17, 1, 1, 2 |
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 5 x 5 x 1 x 7 x 17 x 1 x 1 x 2 = 35700
Therefore, LCM of 75,42,85,1,5,100 is 35700
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(75, 42) = 3
LCM(75, 42) = ( 75 x 42 ) / 3
LCM(75, 42) = 3150 / 3
LCM(75, 42) = 1050
Step2:
Here we consider the LCM from the above i.e. 1050 as first number and the next as 85
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1050, 85) = 5
LCM(1050, 85) = ( 1050 x 85 ) / 5
LCM(1050, 85) = 89250 / 5
LCM(1050, 85) = 17850
Step3:
Here we consider the LCM from the above i.e. 17850 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(17850, 1) = 1
LCM(17850, 1) = ( 17850 x 1 ) / 1
LCM(17850, 1) = 17850 / 1
LCM(17850, 1) = 17850
Step4:
Here we consider the LCM from the above i.e. 17850 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(17850, 5) = 5
LCM(17850, 5) = ( 17850 x 5 ) / 5
LCM(17850, 5) = 89250 / 5
LCM(17850, 5) = 17850
Step5:
Here we consider the LCM from the above i.e. 17850 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(17850, 100) = 50
LCM(17850, 100) = ( 17850 x 100 ) / 50
LCM(17850, 100) = 1785000 / 50
LCM(17850, 100) = 35700
LCM of 75,42,85,1,5,100 is 35700
Fractions after converting to a common denominator
12376/35700,11050/35700,6720/35700,321300/35700,14280/35700,1071/35700
Arrange fractions in ascending order
1071/35700 < 6720/35700 < 11050/35700 < 12376/35700 < 14280/35700 < 321300/35700
Ascending Order arrangements from Least to Greatest we get:
3% < 16/85 < 13/42 < 26/75 < 0.4 < 9
Ordering Fractions Calculation Examples
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FAQs on 26/75,13/42,16/85,9,0.4,3% Ordering Fractions From Least to Greatest
1. What is the ascending order of 26/75,13/42,16/85,9,0.4,3% ?
The order of 26/75,13/42,16/85,9,0.4,3% from least to greatest is 3% < 16/85 < 13/42 < 26/75 < 0.4 < 9
2. How to Order 26/75,13/42,16/85,9,0.4,3% from least to greatest?
To order a given set of fractions 26/75,13/42,16/85,9,0.4,3% 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., 3% < 16/85 < 13/42 < 26/75 < 0.4 < 9 .
3. How to Sort 26/75,13/42,16/85,9,0.4,3% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 26/75,13/42,16/85,9,0.4,3% and click on the calculate button to see the result ie., 3% < 16/85 < 13/42 < 26/75 < 0.4 < 9 .