3/85,1/17,84/31,4,0.91,5% Order Fractions from Least to Greatest
3/85,1/17,84/31,4,0.91,5% 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 3/85,1/17,84/31,4,0.91,5% from Least to Greatest
Convert 0.91 decimal to fraction
Given Decimal is 0.91.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 091/100
The given decimal 0.91 in fraction form is 91/100.
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 3/85,1/17,84/31,4,0.91,5%
After coverting each input to fraction format we get 3/85,1/17,84/31,4/1,91 / 100,1/20
Separate the denominators 85,17,31,1,100,20
Calculate the LCM of 85,17,31,1,100,20 i.e. 52700
Arrange the Inputs 85,17,31,1,100,20 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 | 85, 17, 31, 1, 100, 20 |
| 2 | 85, 17, 31, 1, 50, 10 |
| 5 | 85, 17, 31, 1, 25, 5 |
| 17 | 17, 17, 31, 1, 1, 5 |
| 1, 1, 31, 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 17 x 1 x 1 x 31 x 1 x 1 x 5 = 52700
Therefore, LCM of 85,17,31,1,100,20 is 52700
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(85, 17) = 17
LCM(85, 17) = ( 85 x 17 ) / 17
LCM(85, 17) = 1445 / 17
LCM(85, 17) = 85
Step2:
Here we consider the LCM from the above i.e. 85 as first number and the next as 31
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(85, 31) = 1
LCM(85, 31) = ( 85 x 31 ) / 1
LCM(85, 31) = 2635 / 1
LCM(85, 31) = 2635
Step3:
Here we consider the LCM from the above i.e. 2635 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2635, 1) = 1
LCM(2635, 1) = ( 2635 x 1 ) / 1
LCM(2635, 1) = 2635 / 1
LCM(2635, 1) = 2635
Step4:
Here we consider the LCM from the above i.e. 2635 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2635, 100) = 5
LCM(2635, 100) = ( 2635 x 100 ) / 5
LCM(2635, 100) = 263500 / 5
LCM(2635, 100) = 52700
Step5:
Here we consider the LCM from the above i.e. 52700 as first number and the next as 20
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(52700, 20) = 20
LCM(52700, 20) = ( 52700 x 20 ) / 20
LCM(52700, 20) = 1054000 / 20
LCM(52700, 20) = 52700
LCM of 85,17,31,1,100,20 is 52700
Fractions after converting to a common denominator
1860/52700,3100/52700,142800/52700,210800/52700,47957/52700,2635/52700
Arrange fractions in ascending order
1860/52700 < 2635/52700 < 3100/52700 < 47957/52700 < 142800/52700 < 210800/52700
Ascending Order arrangements from Least to Greatest we get:
3/85 < 5% < 1/17 < 0.91 < 84/31 < 4
Ordering Fractions Calculation Examples
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FAQs on 3/85,1/17,84/31,4,0.91,5% Ordering Fractions From Least to Greatest
1. What is the ascending order of 3/85,1/17,84/31,4,0.91,5% ?
The order of 3/85,1/17,84/31,4,0.91,5% from least to greatest is 3/85 < 5% < 1/17 < 0.91 < 84/31 < 4
2. How to Order 3/85,1/17,84/31,4,0.91,5% from least to greatest?
To order a given set of fractions 3/85,1/17,84/31,4,0.91,5% 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., 3/85 < 5% < 1/17 < 0.91 < 84/31 < 4 .
3. How to Sort 3/85,1/17,84/31,4,0.91,5% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 3/85,1/17,84/31,4,0.91,5% and click on the calculate button to see the result ie., 3/85 < 5% < 1/17 < 0.91 < 84/31 < 4 .