95/17,14/96,74/81,6,0.3,8% Order Fractions from Least to Greatest
95/17,14/96,74/81,6,0.3,8% 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 95/17,14/96,74/81,6,0.3,8% from Least to Greatest
Convert 0.3 decimal to fraction
Given Decimal is 0.3.
The number of decimals after the point are 1.
The Decimal is divided with 10.
The Fraction can be written as,
= 03/10
The given decimal 0.3 in fraction form is 3/10.
Convert 8% to fraction i.e. 2/25
Given Input Value = 8%
Place the Percentage Value at the top over 100.
= 8/100
The given fraction is 8/100
On reducing the fraction, we get the exact form
8/100
= 2/25
The exact form of the fraction is 2/25.
In the decimal form, the fraction can be written as 0.08.
The fraction can be written as 2/25.
The given inputs are 95/17,14/96,74/81,6,0.3,8%
After coverting each input to fraction format we get 95/17,14/96,74/81,6/1,3 / 10,2/25
Separate the denominators 17,96,81,1,10,25
Calculate the LCM of 17,96,81,1,10,25 i.e. 1101600
Arrange the Inputs 17,96,81,1,10,25 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 | 17, 96, 81, 1, 10, 25 |
| 3 | 17, 48, 81, 1, 5, 25 |
| 5 | 17, 16, 27, 1, 5, 25 |
| 17, 16, 27, 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 3 x 5 x 17 x 16 x 27 x 1 x 1 x 5 = 1101600
Therefore, LCM of 17,96,81,1,10,25 is 1101600
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(17, 96) = 1
LCM(17, 96) = ( 17 x 96 ) / 1
LCM(17, 96) = 1632 / 1
LCM(17, 96) = 1632
Step2:
Here we consider the LCM from the above i.e. 1632 as first number and the next as 81
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1632, 81) = 3
LCM(1632, 81) = ( 1632 x 81 ) / 3
LCM(1632, 81) = 132192 / 3
LCM(1632, 81) = 44064
Step3:
Here we consider the LCM from the above i.e. 44064 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(44064, 1) = 1
LCM(44064, 1) = ( 44064 x 1 ) / 1
LCM(44064, 1) = 44064 / 1
LCM(44064, 1) = 44064
Step4:
Here we consider the LCM from the above i.e. 44064 as first number and the next as 10
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(44064, 10) = 2
LCM(44064, 10) = ( 44064 x 10 ) / 2
LCM(44064, 10) = 440640 / 2
LCM(44064, 10) = 220320
Step5:
Here we consider the LCM from the above i.e. 220320 as first number and the next as 25
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(220320, 25) = 5
LCM(220320, 25) = ( 220320 x 25 ) / 5
LCM(220320, 25) = 5508000 / 5
LCM(220320, 25) = 1101600
LCM of 17,96,81,1,10,25 is 1101600
Fractions after converting to a common denominator
6156000/1101600,160650/1101600,1006400/1101600,6609600/1101600,330480/1101600,88128/1101600
Arrange fractions in ascending order
88128/1101600 < 160650/1101600 < 330480/1101600 < 1006400/1101600 < 6156000/1101600 < 6609600/1101600
Ascending Order arrangements from Least to Greatest we get:
8% < 14/96 < 0.3 < 74/81 < 95/17 < 6
Ordering Fractions Calculation Examples
Here are some samples of Ordering Fractions calculations.
- Ordering Fractions 45/82 ,86/41 ,62/74,2,0.9,4%
- Ordering Fractions 94/15 ,44/65 ,23/44,3,0.1,2%
- Ordering Fractions 80/73 ,41/83 ,49/11,5,0.5,1%
- Ordering Fractions 92/92 ,93/93 ,53/46,1,0.3,4%
- Ordering Fractions 37/67 ,28/47 ,48/96,2,0.8,2%
- Ordering Fractions 45/81 ,66/89 ,55/91,7,6.7,5%
- Ordering Fractions 79/68 ,83/61 ,86/50,9,0.3,9%
- Ordering Fractions 50/73 ,18/69 ,54/21,5,0.2,2%
- Ordering Fractions 20/97 ,50/20 ,78/39,9,0.2,3%
- Ordering Fractions 17/39 ,43/15 ,88/32,3,0.5,6%
FAQs on 95/17,14/96,74/81,6,0.3,8% Ordering Fractions From Least to Greatest
1. What is the ascending order of 95/17,14/96,74/81,6,0.3,8% ?
The order of 95/17,14/96,74/81,6,0.3,8% from least to greatest is 8% < 14/96 < 0.3 < 74/81 < 95/17 < 6
2. How to Order 95/17,14/96,74/81,6,0.3,8% from least to greatest?
To order a given set of fractions 95/17,14/96,74/81,6,0.3,8% 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., 8% < 14/96 < 0.3 < 74/81 < 95/17 < 6 .
3. How to Sort 95/17,14/96,74/81,6,0.3,8% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 95/17,14/96,74/81,6,0.3,8% and click on the calculate button to see the result ie., 8% < 14/96 < 0.3 < 74/81 < 95/17 < 6 .