55/12,22/14,8,0.8,41% determine the order of fractions from least to greatest by using our free online Ordering Fractions Calculator & attain the result in no time.

Ordering Fractions of

Find the Order of 55/12,22/14,8,0.8,41% from Least to Greatest

Convert 0.8 decimal to fraction

Given Decimal is 0.8.

The number of decimals after the point are 1.

The Decimal is divided with 10.

The Fraction can be written as,

= 08/10

= 4/5

The given decimal 0.8 in fraction form is 4/5.

Convert 41% to fraction i.e. 41/100

Given Input Value = 41%

Place the Percentage Value at the top over 100.

= 41/100

Therefore, 41% in Fraction is 41/100.

The given inputs are 55/12,22/14,8,0.8,41%

After coverting each input to fraction format we get 55/12,22/14,8/1,4 / 5,41/100

Separate the denominators 12,14,1,5,100

Calculate the LCM of 12,14,1,5,100 i.e. 2100

Finding LCM of 12,14,1,5,100 by Common Division

Arrange the Inputs 12,14,1,5,100 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 12, 14, 1, 5, 100
2 6, 7, 1, 5, 50
5 3, 7, 1, 5, 25
3, 7, 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 3 x 7 x 1 x 1 x 5 = 2100

Therefore, LCM of 12,14,1,5,100 is 2100

Finding LCM of 12,14,1,5,100 using GCF Formula

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(12, 14) = 2

LCM(12, 14) = ( 12 x 14 ) / 2

LCM(12, 14) = 168 / 2

LCM(12, 14) = 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 12,14,1,5,100 is 2100

Fractions after converting to a common denominator

9625/2100,3300/2100,16800/2100,1680/2100,861/2100

Arrange fractions in ascending order

861/2100 < 1680/2100 < 3300/2100 < 9625/2100 < 16800/2100

Ascending Order arrangements from Least to Greatest we get:

41% < 0.8 < 22/14 < 55/12 < 8

FAQs on 55/12,22/14,8,0.8,41% Ordering Fractions From Least to Greatest

1. What is the ascending order of 55/12,22/14,8,0.8,41% ?

The order of 55/12,22/14,8,0.8,41% from least to greatest is 41% < 0.8 < 22/14 < 55/12 < 8


2. How to Order 55/12,22/14,8,0.8,41% from least to greatest?

To order a given set of fractions 55/12,22/14,8,0.8,41% 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., 41% < 0.8 < 22/14 < 55/12 < 8 .


3. How to Sort 55/12,22/14,8,0.8,41% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 55/12,22/14,8,0.8,41% and click on the calculate button to see the result ie., 41% < 0.8 < 22/14 < 55/12 < 8 .