8/2,9/8,2/7,0.33,13% Order Fractions from Least to Greatest

8/2,9/8,2/7,0.33,13% 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 8/2,9/8,2/7,0.33,13% from Least to Greatest

Convert 0.33 decimal to fraction

Given Decimal is 0.33.

The number of decimals after the point are 2.

The Decimal is divided with 100.

The Fraction can be written as,

= 033/100

The given decimal 0.33 in fraction form is 33/100.

Convert 13% to fraction i.e. 13/100

Given Input Value = 13%

Place the Percentage Value at the top over 100.

= 13/100

Therefore, 13% in Fraction is 13/100.

The given inputs are 8/2,9/8,2/7,0.33,13%

After coverting each input to fraction format we get 8/2,9/8,2/7,33 / 100,13/100

Separate the denominators 2,8,7,100,100

Calculate the LCM of 2,8,7,100,100 i.e. 1400

Finding LCM of 2,8,7,100,100 by Common Division

Arrange the Inputs 2,8,7,100,100 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 2, 8, 7, 100, 100 2 1, 4, 7, 50, 50 5 1, 2, 7, 25, 25 5 1, 2, 7, 5, 5 1, 2, 7, 1, 1

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 5 x 1 x 2 x 7 x 1 x 1 = 1400

Therefore, LCM of 2,8,7,100,100 is 1400

Finding LCM of 2,8,7,100,100 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(2, 8) = 2

LCM(2, 8) = ( 2 x 8 ) / 2

LCM(2, 8) = 16 / 2

LCM(2, 8) = 8

Step2:

Here we consider the LCM from the above i.e. 8 as first number and the next as 7

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(8, 7) = 1

LCM(8, 7) = ( 8 x 7 ) / 1

LCM(8, 7) = 56 / 1

LCM(8, 7) = 56

Step3:

Here we consider the LCM from the above i.e. 56 as first number and the next as 100

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(56, 100) = 4

LCM(56, 100) = ( 56 x 100 ) / 4

LCM(56, 100) = 5600 / 4

LCM(56, 100) = 1400

Step4:

Here we consider the LCM from the above i.e. 1400 as first number and the next as 100

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(1400, 100) = 100

LCM(1400, 100) = ( 1400 x 100 ) / 100

LCM(1400, 100) = 140000 / 100

LCM(1400, 100) = 1400

LCM of 2,8,7,100,100 is 1400

Fractions after converting to a common denominator

5600/1400,1575/1400,400/1400,462/1400,182/1400

Arrange fractions in ascending order

182/1400 < 400/1400 < 462/1400 < 1575/1400 < 5600/1400

Ascending Order arrangements from Least to Greatest we get:

13% < 2/7 < 0.33 < 9/8 < 8/2

Ordering Fractions Calculation Examples

Here are some samples of Ordering Fractions calculations.

FAQs on 8/2,9/8,2/7,0.33,13% Ordering Fractions From Least to Greatest

1. What is the ascending order of 8/2,9/8,2/7,0.33,13% ?

The order of 8/2,9/8,2/7,0.33,13% from least to greatest is 13% < 2/7 < 0.33 < 9/8 < 8/2

2. How to Order 8/2,9/8,2/7,0.33,13% from least to greatest?

To order a given set of fractions 8/2,9/8,2/7,0.33,13% 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., 13% < 2/7 < 0.33 < 9/8 < 8/2 .

3. How to Sort 8/2,9/8,2/7,0.33,13% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 8/2,9/8,2/7,0.33,13% and click on the calculate button to see the result ie., 13% < 2/7 < 0.33 < 9/8 < 8/2 .