90/38,19/34,91/34,6,0.9,7% Order Fractions from Least to Greatest
90/38,19/34,91/34,6,0.9,7% 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 90/38,19/34,91/34,6,0.9,7% from Least to Greatest
Convert 0.9 decimal to fraction
Given Decimal is 0.9.
The number of decimals after the point are 1.
The Decimal is divided with 10.
The Fraction can be written as,
= 09/10
The given decimal 0.9 in fraction form is 9/10.
Convert 7% to fraction i.e. 7/100
Given Input Value = 7%
Place the Percentage Value at the top over 100.
= 7/100
Therefore, 7% in Fraction is 7/100.
The given inputs are 90/38,19/34,91/34,6,0.9,7%
After coverting each input to fraction format we get 90/38,19/34,91/34,6/1,9 / 10,7/100
Separate the denominators 38,34,34,1,10,100
Calculate the LCM of 38,34,34,1,10,100 i.e. 32300
Arrange the Inputs 38,34,34,1,10,100 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 | 38, 34, 34, 1, 10, 100 |
5 | 19, 17, 17, 1, 5, 50 |
17 | 19, 17, 17, 1, 1, 10 |
19, 1, 1, 1, 1, 10 |
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 5 x 17 x 19 x 1 x 1 x 1 x 1 x 10 = 32300
Therefore, LCM of 38,34,34,1,10,100 is 32300
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(38, 34) = 2
LCM(38, 34) = ( 38 x 34 ) / 2
LCM(38, 34) = 1292 / 2
LCM(38, 34) = 646
Step2:
Here we consider the LCM from the above i.e. 646 as first number and the next as 34
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(646, 34) = 34
LCM(646, 34) = ( 646 x 34 ) / 34
LCM(646, 34) = 21964 / 34
LCM(646, 34) = 646
Step3:
Here we consider the LCM from the above i.e. 646 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(646, 1) = 1
LCM(646, 1) = ( 646 x 1 ) / 1
LCM(646, 1) = 646 / 1
LCM(646, 1) = 646
Step4:
Here we consider the LCM from the above i.e. 646 as first number and the next as 10
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(646, 10) = 2
LCM(646, 10) = ( 646 x 10 ) / 2
LCM(646, 10) = 6460 / 2
LCM(646, 10) = 3230
Step5:
Here we consider the LCM from the above i.e. 3230 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3230, 100) = 10
LCM(3230, 100) = ( 3230 x 100 ) / 10
LCM(3230, 100) = 323000 / 10
LCM(3230, 100) = 32300
LCM of 38,34,34,1,10,100 is 32300
Fractions after converting to a common denominator
76500/32300,18050/32300,86450/32300,193800/32300,29070/32300,2261/32300
Arrange fractions in ascending order
2261/32300 < 18050/32300 < 29070/32300 < 76500/32300 < 86450/32300 < 193800/32300
Ascending Order arrangements from Least to Greatest we get:
7% < 19/34 < 0.9 < 90/38 < 91/34 < 6
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FAQs on 90/38,19/34,91/34,6,0.9,7% Ordering Fractions From Least to Greatest
1. What is the ascending order of 90/38,19/34,91/34,6,0.9,7% ?
The order of 90/38,19/34,91/34,6,0.9,7% from least to greatest is 7% < 19/34 < 0.9 < 90/38 < 91/34 < 6
2. How to Order 90/38,19/34,91/34,6,0.9,7% from least to greatest?
To order a given set of fractions 90/38,19/34,91/34,6,0.9,7% 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., 7% < 19/34 < 0.9 < 90/38 < 91/34 < 6 .
3. How to Sort 90/38,19/34,91/34,6,0.9,7% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 90/38,19/34,91/34,6,0.9,7% and click on the calculate button to see the result ie., 7% < 19/34 < 0.9 < 90/38 < 91/34 < 6 .