51/15,46/40,22/24,6,0.58,3% Order Fractions from Least to Greatest
51/15,46/40,22/24,6,0.58,3% 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 51/15,46/40,22/24,6,0.58,3% from Least to Greatest
Convert 0.58 decimal to fraction
Given Decimal is 0.58.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 058/100
= 29/50
The given decimal 0.58 in fraction form is 29/50.
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 51/15,46/40,22/24,6,0.58,3%
After coverting each input to fraction format we get 51/15,46/40,22/24,6/1,29 / 50,3/100
Separate the denominators 15,40,24,1,50,100
Calculate the LCM of 15,40,24,1,50,100 i.e. 600
Arrange the Inputs 15,40,24,1,50,100 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 | 15, 40, 24, 1, 50, 100 |
| 2 | 15, 20, 12, 1, 25, 50 |
| 2 | 15, 10, 6, 1, 25, 25 |
| 3 | 15, 5, 3, 1, 25, 25 |
| 5 | 5, 5, 1, 1, 25, 25 |
| 5 | 1, 1, 1, 1, 5, 5 |
| 1, 1, 1, 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 2 x 3 x 5 x 5 x 1 x 1 x 1 x 1 x 1 x 1 = 600
Therefore, LCM of 15,40,24,1,50,100 is 600
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(15, 40) = 5
LCM(15, 40) = ( 15 x 40 ) / 5
LCM(15, 40) = 600 / 5
LCM(15, 40) = 120
Step2:
Here we consider the LCM from the above i.e. 120 as first number and the next as 24
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(120, 24) = 24
LCM(120, 24) = ( 120 x 24 ) / 24
LCM(120, 24) = 2880 / 24
LCM(120, 24) = 120
Step3:
Here we consider the LCM from the above i.e. 120 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(120, 1) = 1
LCM(120, 1) = ( 120 x 1 ) / 1
LCM(120, 1) = 120 / 1
LCM(120, 1) = 120
Step4:
Here we consider the LCM from the above i.e. 120 as first number and the next as 50
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(120, 50) = 10
LCM(120, 50) = ( 120 x 50 ) / 10
LCM(120, 50) = 6000 / 10
LCM(120, 50) = 600
Step5:
Here we consider the LCM from the above i.e. 600 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(600, 100) = 100
LCM(600, 100) = ( 600 x 100 ) / 100
LCM(600, 100) = 60000 / 100
LCM(600, 100) = 600
LCM of 15,40,24,1,50,100 is 600
Fractions after converting to a common denominator
2040/600,690/600,550/600,3600/600,348/600,18/600
Arrange fractions in ascending order
18/600 < 348/600 < 550/600 < 690/600 < 2040/600 < 3600/600
Ascending Order arrangements from Least to Greatest we get:
3% < 0.58 < 22/24 < 46/40 < 51/15 < 6
Ordering Fractions Calculation Examples
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FAQs on 51/15,46/40,22/24,6,0.58,3% Ordering Fractions From Least to Greatest
1. What is the ascending order of 51/15,46/40,22/24,6,0.58,3% ?
The order of 51/15,46/40,22/24,6,0.58,3% from least to greatest is 3% < 0.58 < 22/24 < 46/40 < 51/15 < 6
2. How to Order 51/15,46/40,22/24,6,0.58,3% from least to greatest?
To order a given set of fractions 51/15,46/40,22/24,6,0.58,3% 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% < 0.58 < 22/24 < 46/40 < 51/15 < 6 .
3. How to Sort 51/15,46/40,22/24,6,0.58,3% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 51/15,46/40,22/24,6,0.58,3% and click on the calculate button to see the result ie., 3% < 0.58 < 22/24 < 46/40 < 51/15 < 6 .