3/7,5/2,8/9,9 6/38 Order Fractions from Least to Greatest
3/7,5/2,8/9,9 6/38 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 3/7,5/2,8/9,9 6/38 from Least to Greatest
Convert Mix Number 9 6/38 to fraction i.e. 174/19
Given Mixed Number is 9 6/38
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 9 and the fractional part is 6/38.
On adding them, they can be written as:
9/1 + 6/38
The L.C.M of the denominators 1 and 38 is 38.
The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 38.
9 x 38 + 6/38
342 + 6/38
After multiplying, the numerators 342 and 6 should be added.
348/38
The fraction value we get is 348/38.
On simplifying the fraction,we get:
174/19
After converting the Mixed Number 9 6/38 to the Improper Fraction,the result is 174/19.
The given inputs are 3/7,5/2,8/9,9 6/38
After coverting each input to fraction format we get 3/7,5/2,8/9,174/19
Separate the denominators 7,2,9,19
Calculate the LCM of 7,2,9,19 i.e. 2394
Arrange the Inputs 7,2,9,19 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.
Given numbers has no common factors except 1. So, there LCM is their product i.e 2394
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(7, 2) = 1
LCM(7, 2) = ( 7 x 2 ) / 1
LCM(7, 2) = 14 / 1
LCM(7, 2) = 14
Step2:
Here we consider the LCM from the above i.e. 14 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(14, 9) = 1
LCM(14, 9) = ( 14 x 9 ) / 1
LCM(14, 9) = 126 / 1
LCM(14, 9) = 126
Step3:
Here we consider the LCM from the above i.e. 126 as first number and the next as 19
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(126, 19) = 1
LCM(126, 19) = ( 126 x 19 ) / 1
LCM(126, 19) = 2394 / 1
LCM(126, 19) = 2394
LCM of 7,2,9,19 is 2394
Fractions after converting to a common denominator
1026/2394,5985/2394,2128/2394,21924/2394
Arrange fractions in ascending order
1026/2394 < 2128/2394 < 5985/2394 < 21924/2394
Ascending Order arrangements from Least to Greatest we get:
3/7 < 8/9 < 5/2 < 9 6/38
Ordering Fractions Calculation Examples
Here are some samples of Ordering Fractions calculations.
- Ordering Fractions 8/6 ,3/5 ,2/8,8 3/26
- Ordering Fractions 1/7 ,5/1 ,3/4,9 7/66
- Ordering Fractions 3/4 ,9/8 ,7/8,2 9/33
- Ordering Fractions 7/9 ,4/7 ,6/3,2 3/87
- Ordering Fractions 5/4 ,9/5 ,2/5,1 8/77
- Ordering Fractions 7/4 ,3/9 ,5/7,9 9/55
- Ordering Fractions 4/3 ,3/2 ,9/9,6 8/47
- Ordering Fractions 9/3 ,6/4 ,9/7,9 1/31
- Ordering Fractions 3/9 ,8/8 ,6/8,9 4/86
- Ordering Fractions 4/6 ,4/1 ,8/8,7 6/51
FAQs on 3/7,5/2,8/9,9 6/38 Ordering Fractions From Least to Greatest
1. What is the ascending order of 3/7,5/2,8/9,9 6/38 ?
The order of 3/7,5/2,8/9,9 6/38 from least to greatest is 3/7 < 8/9 < 5/2 < 9 6/38
2. How to Order 3/7,5/2,8/9,9 6/38 from least to greatest?
To order a given set of fractions 3/7,5/2,8/9,9 6/38 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., 3/7 < 8/9 < 5/2 < 9 6/38 .
3. How to Sort 3/7,5/2,8/9,9 6/38 list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 3/7,5/2,8/9,9 6/38 and click on the calculate button to see the result ie., 3/7 < 8/9 < 5/2 < 9 6/38 .