1/98,9/23,6,0.16,71% 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 1/98,9/23,6,0.16,71% from Least to Greatest

Convert 0.16 decimal to fraction

Given Decimal is 0.16.

The number of decimals after the point are 2.

The Decimal is divided with 100.

The Fraction can be written as,

= 016/100

= 4/25

The given decimal 0.16 in fraction form is 4/25.

Convert 71% to fraction i.e. 71/100

Given Input Value = 71%

Place the Percentage Value at the top over 100.

= 71/100

Therefore, 71% in Fraction is 71/100.

The given inputs are 1/98,9/23,6,0.16,71%

After coverting each input to fraction format we get 1/98,9/23,6/1,4 / 25,71/100

Separate the denominators 98,23,1,25,100

Calculate the LCM of 98,23,1,25,100 i.e. 112700

Finding LCM of 98,23,1,25,100 by Common Division

Arrange the Inputs 98,23,1,25,100 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 98, 23, 1, 25, 100
5 49, 23, 1, 25, 50
5 49, 23, 1, 5, 10
49, 23, 1, 1, 2

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 5 x 49 x 23 x 1 x 1 x 2 = 112700

Therefore, LCM of 98,23,1,25,100 is 112700

Finding LCM of 98,23,1,25,100 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(98, 23) = 1

LCM(98, 23) = ( 98 x 23 ) / 1

LCM(98, 23) = 2254 / 1

LCM(98, 23) = 2254


Step2:

Here we consider the LCM from the above i.e. 2254 as first number and the next as 1

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

GCF(2254, 1) = 1

LCM(2254, 1) = ( 2254 x 1 ) / 1

LCM(2254, 1) = 2254 / 1

LCM(2254, 1) = 2254


Step3:

Here we consider the LCM from the above i.e. 2254 as first number and the next as 25

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

GCF(2254, 25) = 1

LCM(2254, 25) = ( 2254 x 25 ) / 1

LCM(2254, 25) = 56350 / 1

LCM(2254, 25) = 56350


Step4:

Here we consider the LCM from the above i.e. 56350 as first number and the next as 100

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

GCF(56350, 100) = 50

LCM(56350, 100) = ( 56350 x 100 ) / 50

LCM(56350, 100) = 5635000 / 50

LCM(56350, 100) = 112700

LCM of 98,23,1,25,100 is 112700

Fractions after converting to a common denominator

1150/112700,44100/112700,676200/112700,18032/112700,80017/112700

Arrange fractions in ascending order

1150/112700 < 18032/112700 < 44100/112700 < 80017/112700 < 676200/112700

Ascending Order arrangements from Least to Greatest we get:

1/98 < 0.16 < 9/23 < 71% < 6

FAQs on 1/98,9/23,6,0.16,71% Ordering Fractions From Least to Greatest

1. What is the ascending order of 1/98,9/23,6,0.16,71% ?

The order of 1/98,9/23,6,0.16,71% from least to greatest is 1/98 < 0.16 < 9/23 < 71% < 6


2. How to Order 1/98,9/23,6,0.16,71% from least to greatest?

To order a given set of fractions 1/98,9/23,6,0.16,71% 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., 1/98 < 0.16 < 9/23 < 71% < 6 .


3. How to Sort 1/98,9/23,6,0.16,71% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 1/98,9/23,6,0.16,71% and click on the calculate button to see the result ie., 1/98 < 0.16 < 9/23 < 71% < 6 .