3/9,3/5,81/875,9/1,49% Order Fractions from Least to Greatest
3/9,3/5,81/875,9/1,49% 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 3/9,3/5,81/875,9/1,49% from Least to Greatest
Convert 49% to fraction i.e. 49/100
Given Input Value = 49%
Place the Percentage Value at the top over 100.
= 49/100
Therefore, 49% in Fraction is 49/100.
The given inputs are 3/9,3/5,81/875,9/1,49%
After coverting each input to fraction format we get 3/9,3/5,81/875,9/1,49/100
Separate the denominators 9,5,875,1,100
Calculate the LCM of 9,5,875,1,100 i.e. 31500
Arrange the Inputs 9,5,875,1,100 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 | 9, 5, 875, 1, 100 |
5 | 9, 1, 175, 1, 20 |
9, 1, 35, 1, 4 |
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 5 x 9 x 1 x 35 x 1 x 4 = 31500
Therefore, LCM of 9,5,875,1,100 is 31500
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(9, 5) = 1
LCM(9, 5) = ( 9 x 5 ) / 1
LCM(9, 5) = 45 / 1
LCM(9, 5) = 45
Step2:
Here we consider the LCM from the above i.e. 45 as first number and the next as 875
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(45, 875) = 5
LCM(45, 875) = ( 45 x 875 ) / 5
LCM(45, 875) = 39375 / 5
LCM(45, 875) = 7875
Step3:
Here we consider the LCM from the above i.e. 7875 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7875, 1) = 1
LCM(7875, 1) = ( 7875 x 1 ) / 1
LCM(7875, 1) = 7875 / 1
LCM(7875, 1) = 7875
Step4:
Here we consider the LCM from the above i.e. 7875 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7875, 100) = 25
LCM(7875, 100) = ( 7875 x 100 ) / 25
LCM(7875, 100) = 787500 / 25
LCM(7875, 100) = 31500
LCM of 9,5,875,1,100 is 31500
Fractions after converting to a common denominator
10500/31500,18900/31500,2916/31500,283500/31500,15435/31500
Arrange fractions in ascending order
2916/31500 < 10500/31500 < 15435/31500 < 18900/31500 < 283500/31500
Ascending Order arrangements from Least to Greatest we get:
81/875 < 3/9 < 49% < 3/5 < 9/1
Ordering Fractions Calculation Examples
Here are some samples of Ordering Fractions calculations.
- Ordering Fractions 8/7 ,6/9 ,16/440 ,5/3,73%
- Ordering Fractions 9/5 ,6/7 ,70/292 ,6/4,28%
- Ordering Fractions 3/5 ,6/5 ,83/860 ,5/4,30%
- Ordering Fractions 8/7 ,9/3 ,39/914 ,8/2,89%
- Ordering Fractions 8/3 ,5/2 ,83/537 ,4/2,79%
- Ordering Fractions 3/7 ,8/2 ,49/361 ,5/9,73%
- Ordering Fractions 4/8 ,5/6 ,23/723 ,3/9,47%
- Ordering Fractions 4/4 ,3/8 ,70/164 ,2/3,84%
- Ordering Fractions 7/2 ,1/2 ,39/821 ,5/2,48%
- Ordering Fractions 2/3 ,3/3 ,80/787 ,3/3,89%
FAQs on 3/9,3/5,81/875,9/1,49% Ordering Fractions From Least to Greatest
1. What is the ascending order of 3/9,3/5,81/875,9/1,49% ?
The order of 3/9,3/5,81/875,9/1,49% from least to greatest is 81/875 < 3/9 < 49% < 3/5 < 9/1
2. How to Order 3/9,3/5,81/875,9/1,49% from least to greatest?
To order a given set of fractions 3/9,3/5,81/875,9/1,49% 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., 81/875 < 3/9 < 49% < 3/5 < 9/1 .
3. How to Sort 3/9,3/5,81/875,9/1,49% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 3/9,3/5,81/875,9/1,49% and click on the calculate button to see the result ie., 81/875 < 3/9 < 49% < 3/5 < 9/1 .