66/23,81/59,51/70,3,0.02,3% Order Fractions from Least to Greatest
66/23,81/59,51/70,3,0.02,3% 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 66/23,81/59,51/70,3,0.02,3% from Least to Greatest
Convert 0.02 decimal to fraction
Given Decimal is 0.02.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 002/100
= 1/50
The given decimal 0.02 in fraction form is 1/50.
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 66/23,81/59,51/70,3,0.02,3%
After coverting each input to fraction format we get 66/23,81/59,51/70,3/1,1 / 50,3/100
Separate the denominators 23,59,70,1,50,100
Calculate the LCM of 23,59,70,1,50,100 i.e. 949900
Arrange the Inputs 23,59,70,1,50,100 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 | 23, 59, 70, 1, 50, 100 |
| 5 | 23, 59, 35, 1, 25, 50 |
| 5 | 23, 59, 7, 1, 5, 10 |
| 23, 59, 7, 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 23 x 59 x 7 x 1 x 1 x 2 = 949900
Therefore, LCM of 23,59,70,1,50,100 is 949900
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(23, 59) = 1
LCM(23, 59) = ( 23 x 59 ) / 1
LCM(23, 59) = 1357 / 1
LCM(23, 59) = 1357
Step2:
Here we consider the LCM from the above i.e. 1357 as first number and the next as 70
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1357, 70) = 1
LCM(1357, 70) = ( 1357 x 70 ) / 1
LCM(1357, 70) = 94990 / 1
LCM(1357, 70) = 94990
Step3:
Here we consider the LCM from the above i.e. 94990 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(94990, 1) = 1
LCM(94990, 1) = ( 94990 x 1 ) / 1
LCM(94990, 1) = 94990 / 1
LCM(94990, 1) = 94990
Step4:
Here we consider the LCM from the above i.e. 94990 as first number and the next as 50
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(94990, 50) = 10
LCM(94990, 50) = ( 94990 x 50 ) / 10
LCM(94990, 50) = 4749500 / 10
LCM(94990, 50) = 474950
Step5:
Here we consider the LCM from the above i.e. 474950 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(474950, 100) = 50
LCM(474950, 100) = ( 474950 x 100 ) / 50
LCM(474950, 100) = 47495000 / 50
LCM(474950, 100) = 949900
LCM of 23,59,70,1,50,100 is 949900
Fractions after converting to a common denominator
2725800/949900,1304100/949900,692070/949900,2849700/949900,18998/949900,28497/949900
Arrange fractions in ascending order
18998/949900 < 28497/949900 < 692070/949900 < 1304100/949900 < 2725800/949900 < 2849700/949900
Ascending Order arrangements from Least to Greatest we get:
0.02 < 3% < 51/70 < 81/59 < 66/23 < 3
Ordering Fractions Calculation Examples
Here are some samples of Ordering Fractions calculations.
- Ordering Fractions 77/61 ,49/92 ,93/46,3,0.55,7%
- Ordering Fractions 84/81 ,33/95 ,93/51,3,0.56,9%
- Ordering Fractions 41/70 ,18/87 ,47/72,5,0.05,5%
- Ordering Fractions 94/90 ,88/23 ,32/56,6,0.92,4%
- Ordering Fractions 80/90 ,52/20 ,25/95,1,0.03,9%
- Ordering Fractions 20/46 ,82/70 ,73/73,3,0.18,3%
- Ordering Fractions 91/74 ,92/37 ,91/58,7,0.34,9%
- Ordering Fractions 92/57 ,64/99 ,29/48,2,0.54,7%
- Ordering Fractions 56/48 ,22/63 ,63/55,9,0.95,2%
- Ordering Fractions 57/49 ,95/47 ,36/19,8,0.02,6%
FAQs on 66/23,81/59,51/70,3,0.02,3% Ordering Fractions From Least to Greatest
1. What is the ascending order of 66/23,81/59,51/70,3,0.02,3% ?
The order of 66/23,81/59,51/70,3,0.02,3% from least to greatest is 0.02 < 3% < 51/70 < 81/59 < 66/23 < 3
2. How to Order 66/23,81/59,51/70,3,0.02,3% from least to greatest?
To order a given set of fractions 66/23,81/59,51/70,3,0.02,3% 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., 0.02 < 3% < 51/70 < 81/59 < 66/23 < 3 .
3. How to Sort 66/23,81/59,51/70,3,0.02,3% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 66/23,81/59,51/70,3,0.02,3% and click on the calculate button to see the result ie., 0.02 < 3% < 51/70 < 81/59 < 66/23 < 3 .