49/28,38/42,1,0.6,51% Order Fractions from Least to Greatest
49/28,38/42,1,0.6,51% 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 49/28,38/42,1,0.6,51% from Least to Greatest
Convert 0.6 decimal to fraction
Given Decimal is 0.6.
The number of decimals after the point are 1.
The Decimal is divided with 10.
The Fraction can be written as,
= 06/10
= 3/5
The given decimal 0.6 in fraction form is 3/5.
Convert 51% to fraction i.e. 51/100
Given Input Value = 51%
Place the Percentage Value at the top over 100.
= 51/100
Therefore, 51% in Fraction is 51/100.
The given inputs are 49/28,38/42,1,0.6,51%
After coverting each input to fraction format we get 49/28,38/42,1/1,3 / 5,51/100
Separate the denominators 28,42,1,5,100
Calculate the LCM of 28,42,1,5,100 i.e. 2100
Arrange the Inputs 28,42,1,5,100 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 | 28, 42, 1, 5, 100 |
2 | 14, 21, 1, 5, 50 |
5 | 7, 21, 1, 5, 25 |
7 | 7, 21, 1, 1, 5 |
1, 3, 1, 1, 5 |
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 7 x 1 x 3 x 1 x 1 x 5 = 2100
Therefore, LCM of 28,42,1,5,100 is 2100
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(28, 42) = 14
LCM(28, 42) = ( 28 x 42 ) / 14
LCM(28, 42) = 1176 / 14
LCM(28, 42) = 84
Step2:
Here we consider the LCM from the above i.e. 84 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(84, 1) = 1
LCM(84, 1) = ( 84 x 1 ) / 1
LCM(84, 1) = 84 / 1
LCM(84, 1) = 84
Step3:
Here we consider the LCM from the above i.e. 84 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(84, 5) = 1
LCM(84, 5) = ( 84 x 5 ) / 1
LCM(84, 5) = 420 / 1
LCM(84, 5) = 420
Step4:
Here we consider the LCM from the above i.e. 420 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(420, 100) = 20
LCM(420, 100) = ( 420 x 100 ) / 20
LCM(420, 100) = 42000 / 20
LCM(420, 100) = 2100
LCM of 28,42,1,5,100 is 2100
Fractions after converting to a common denominator
3675/2100,1900/2100,2100/2100,1260/2100,1071/2100
Arrange fractions in ascending order
1071/2100 < 1260/2100 < 1900/2100 < 2100/2100 < 3675/2100
Ascending Order arrangements from Least to Greatest we get:
51% < 0.6 < 38/42 < 1 < 49/28
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FAQs on 49/28,38/42,1,0.6,51% Ordering Fractions From Least to Greatest
1. What is the ascending order of 49/28,38/42,1,0.6,51% ?
The order of 49/28,38/42,1,0.6,51% from least to greatest is 51% < 0.6 < 38/42 < 1 < 49/28
2. How to Order 49/28,38/42,1,0.6,51% from least to greatest?
To order a given set of fractions 49/28,38/42,1,0.6,51% 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., 51% < 0.6 < 38/42 < 1 < 49/28 .
3. How to Sort 49/28,38/42,1,0.6,51% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 49/28,38/42,1,0.6,51% and click on the calculate button to see the result ie., 51% < 0.6 < 38/42 < 1 < 49/28 .