86/29,83/48,28/69,3,0.21,3% Order Fractions from Least to Greatest
86/29,83/48,28/69,3,0.21,3% determine the order of fractions from least to greatest by using our free online Ordering Fractions Calculator & attain the result in no time.
Find the Order of 86/29,83/48,28/69,3,0.21,3% from Least to Greatest
Convert 0.21 decimal to fraction
Given Decimal is 0.21.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 021/100
The given decimal 0.21 in fraction form is 21/100.
Convert 3% to fraction i.e. 3/100
Given Input Value = 3%
Place the Percentage Value at the top over 100.
= 3/100
Therefore, 3% in Fraction is 3/100.
The given inputs are 86/29,83/48,28/69,3,0.21,3%
After coverting each input to fraction format we get 86/29,83/48,28/69,3/1,21 / 100,3/100
Separate the denominators 29,48,69,1,100,100
Calculate the LCM of 29,48,69,1,100,100 i.e. 800400
Arrange the Inputs 29,48,69,1,100,100 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 | 29, 48, 69, 1, 100, 100 |
| 2 | 29, 24, 69, 1, 50, 50 |
| 3 | 29, 12, 69, 1, 25, 25 |
| 5 | 29, 4, 23, 1, 25, 25 |
| 5 | 29, 4, 23, 1, 5, 5 |
| 29, 4, 23, 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 3 x 5 x 5 x 29 x 4 x 23 x 1 x 1 x 1 = 800400
Therefore, LCM of 29,48,69,1,100,100 is 800400
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(29, 48) = 1
LCM(29, 48) = ( 29 x 48 ) / 1
LCM(29, 48) = 1392 / 1
LCM(29, 48) = 1392
Step2:
Here we consider the LCM from the above i.e. 1392 as first number and the next as 69
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1392, 69) = 3
LCM(1392, 69) = ( 1392 x 69 ) / 3
LCM(1392, 69) = 96048 / 3
LCM(1392, 69) = 32016
Step3:
Here we consider the LCM from the above i.e. 32016 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(32016, 1) = 1
LCM(32016, 1) = ( 32016 x 1 ) / 1
LCM(32016, 1) = 32016 / 1
LCM(32016, 1) = 32016
Step4:
Here we consider the LCM from the above i.e. 32016 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(32016, 100) = 4
LCM(32016, 100) = ( 32016 x 100 ) / 4
LCM(32016, 100) = 3201600 / 4
LCM(32016, 100) = 800400
Step5:
Here we consider the LCM from the above i.e. 800400 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(800400, 100) = 100
LCM(800400, 100) = ( 800400 x 100 ) / 100
LCM(800400, 100) = 80040000 / 100
LCM(800400, 100) = 800400
LCM of 29,48,69,1,100,100 is 800400
Fractions after converting to a common denominator
2373600/800400,1384025/800400,324800/800400,2401200/800400,168084/800400,24012/800400
Arrange fractions in ascending order
24012/800400 < 168084/800400 < 324800/800400 < 1384025/800400 < 2373600/800400 < 2401200/800400
Ascending Order arrangements from Least to Greatest we get:
3% < 0.21 < 28/69 < 83/48 < 86/29 < 3
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FAQs on 86/29,83/48,28/69,3,0.21,3% Ordering Fractions From Least to Greatest
1. What is the ascending order of 86/29,83/48,28/69,3,0.21,3% ?
The order of 86/29,83/48,28/69,3,0.21,3% from least to greatest is 3% < 0.21 < 28/69 < 83/48 < 86/29 < 3
2. How to Order 86/29,83/48,28/69,3,0.21,3% from least to greatest?
To order a given set of fractions 86/29,83/48,28/69,3,0.21,3% 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., 3% < 0.21 < 28/69 < 83/48 < 86/29 < 3 .
3. How to Sort 86/29,83/48,28/69,3,0.21,3% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 86/29,83/48,28/69,3,0.21,3% and click on the calculate button to see the result ie., 3% < 0.21 < 28/69 < 83/48 < 86/29 < 3 .