61/65,76/96,1,0.43,51% 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 61/65,76/96,1,0.43,51% from Least to Greatest

Convert 0.43 decimal to fraction

Given Decimal is 0.43.

The number of decimals after the point are 2.

The Decimal is divided with 100.

The Fraction can be written as,

= 043/100

The given decimal 0.43 in fraction form is 43/100.

Convert 51% to fraction i.e. 51/100

Given Input Value = 51%

Place the Percentage Value at the top over 100.

= 51/100

Therefore, 51% in Fraction is 51/100.

The given inputs are 61/65,76/96,1,0.43,51%

After coverting each input to fraction format we get 61/65,76/96,1/1,43 / 100,51/100

Separate the denominators 65,96,1,100,100

Calculate the LCM of 65,96,1,100,100 i.e. 31200

Finding LCM of 65,96,1,100,100 by Common Division

Arrange the Inputs 65,96,1,100,100 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 65, 96, 1, 100, 100
2 65, 48, 1, 50, 50
5 65, 24, 1, 25, 25
5 13, 24, 1, 5, 5
13, 24, 1, 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 13 x 24 x 1 x 1 x 1 = 31200

Therefore, LCM of 65,96,1,100,100 is 31200

Finding LCM of 65,96,1,100,100 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(65, 96) = 1

LCM(65, 96) = ( 65 x 96 ) / 1

LCM(65, 96) = 6240 / 1

LCM(65, 96) = 6240


Step2:

Here we consider the LCM from the above i.e. 6240 as first number and the next as 1

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

GCF(6240, 1) = 1

LCM(6240, 1) = ( 6240 x 1 ) / 1

LCM(6240, 1) = 6240 / 1

LCM(6240, 1) = 6240


Step3:

Here we consider the LCM from the above i.e. 6240 as first number and the next as 100

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

GCF(6240, 100) = 20

LCM(6240, 100) = ( 6240 x 100 ) / 20

LCM(6240, 100) = 624000 / 20

LCM(6240, 100) = 31200


Step4:

Here we consider the LCM from the above i.e. 31200 as first number and the next as 100

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

GCF(31200, 100) = 100

LCM(31200, 100) = ( 31200 x 100 ) / 100

LCM(31200, 100) = 3120000 / 100

LCM(31200, 100) = 31200

LCM of 65,96,1,100,100 is 31200

Fractions after converting to a common denominator

29280/31200,24700/31200,31200/31200,13416/31200,15912/31200

Arrange fractions in ascending order

13416/31200 < 15912/31200 < 24700/31200 < 29280/31200 < 31200/31200

Ascending Order arrangements from Least to Greatest we get:

0.43 < 51% < 76/96 < 61/65 < 1

FAQs on 61/65,76/96,1,0.43,51% Ordering Fractions From Least to Greatest

1. What is the ascending order of 61/65,76/96,1,0.43,51% ?

The order of 61/65,76/96,1,0.43,51% from least to greatest is 0.43 < 51% < 76/96 < 61/65 < 1


2. How to Order 61/65,76/96,1,0.43,51% from least to greatest?

To order a given set of fractions 61/65,76/96,1,0.43,51% 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., 0.43 < 51% < 76/96 < 61/65 < 1 .


3. How to Sort 61/65,76/96,1,0.43,51% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 61/65,76/96,1,0.43,51% and click on the calculate button to see the result ie., 0.43 < 51% < 76/96 < 61/65 < 1 .