86/71,99/49,70/19,7,0.2,7% 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 86/71,99/49,70/19,7,0.2,7% from Least to Greatest

Convert 0.2 decimal to fraction

Given Decimal is 0.2.

The number of decimals after the point are 1.

The Decimal is divided with 10.

The Fraction can be written as,

= 02/10

= 1/5

The given decimal 0.2 in fraction form is 1/5.

Convert 7% to fraction i.e. 7/100

Given Input Value = 7%

Place the Percentage Value at the top over 100.

= 7/100

Therefore, 7% in Fraction is 7/100.

The given inputs are 86/71,99/49,70/19,7,0.2,7%

After coverting each input to fraction format we get 86/71,99/49,70/19,7/1,1 / 5,7/100

Separate the denominators 71,49,19,1,5,100

Calculate the LCM of 71,49,19,1,5,100 i.e. 6610100

Finding LCM of 71,49,19,1,5,100 by Common Division

Arrange the Inputs 71,49,19,1,5,100 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.

5 71, 49, 19, 1, 5, 100
71, 49, 19, 1, 1, 20

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. 5 x 71 x 49 x 19 x 1 x 1 x 20 = 6610100

Therefore, LCM of 71,49,19,1,5,100 is 6610100

Finding LCM of 71,49,19,1,5,100 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(71, 49) = 1

LCM(71, 49) = ( 71 x 49 ) / 1

LCM(71, 49) = 3479 / 1

LCM(71, 49) = 3479


Step2:

Here we consider the LCM from the above i.e. 3479 as first number and the next as 19

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

GCF(3479, 19) = 1

LCM(3479, 19) = ( 3479 x 19 ) / 1

LCM(3479, 19) = 66101 / 1

LCM(3479, 19) = 66101


Step3:

Here we consider the LCM from the above i.e. 66101 as first number and the next as 1

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

GCF(66101, 1) = 1

LCM(66101, 1) = ( 66101 x 1 ) / 1

LCM(66101, 1) = 66101 / 1

LCM(66101, 1) = 66101


Step4:

Here we consider the LCM from the above i.e. 66101 as first number and the next as 5

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

GCF(66101, 5) = 1

LCM(66101, 5) = ( 66101 x 5 ) / 1

LCM(66101, 5) = 330505 / 1

LCM(66101, 5) = 330505


Step5:

Here we consider the LCM from the above i.e. 330505 as first number and the next as 100

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

GCF(330505, 100) = 5

LCM(330505, 100) = ( 330505 x 100 ) / 5

LCM(330505, 100) = 33050500 / 5

LCM(330505, 100) = 6610100

LCM of 71,49,19,1,5,100 is 6610100

Fractions after converting to a common denominator

8006600/6610100,13355100/6610100,24353000/6610100,46270700/6610100,1322020/6610100,462707/6610100

Arrange fractions in ascending order

462707/6610100 < 1322020/6610100 < 8006600/6610100 < 13355100/6610100 < 24353000/6610100 < 46270700/6610100

Ascending Order arrangements from Least to Greatest we get:

7% < 0.2 < 86/71 < 99/49 < 70/19 < 7

FAQs on 86/71,99/49,70/19,7,0.2,7% Ordering Fractions From Least to Greatest

1. What is the ascending order of 86/71,99/49,70/19,7,0.2,7% ?

The order of 86/71,99/49,70/19,7,0.2,7% from least to greatest is 7% < 0.2 < 86/71 < 99/49 < 70/19 < 7


2. How to Order 86/71,99/49,70/19,7,0.2,7% from least to greatest?

To order a given set of fractions 86/71,99/49,70/19,7,0.2,7% 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., 7% < 0.2 < 86/71 < 99/49 < 70/19 < 7 .


3. How to Sort 86/71,99/49,70/19,7,0.2,7% list of fractions using a calculator?

Make use of the Ordering fractions calculator and enter the input set of fractions 86/71,99/49,70/19,7,0.2,7% and click on the calculate button to see the result ie., 7% < 0.2 < 86/71 < 99/49 < 70/19 < 7 .