38/85,78/42,2,0.76,90% Order Fractions from Least to Greatest
38/85,78/42,2,0.76,90% 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 38/85,78/42,2,0.76,90% from Least to Greatest
Convert 0.76 decimal to fraction
Given Decimal is 0.76.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 076/100
= 19/25
The given decimal 0.76 in fraction form is 19/25.
Convert 90% to fraction i.e. 9/10
Given Input Value = 90%
Place the Percentage Value at the top over 100.
= 90/100
The given fraction is 90/100
On reducing the fraction, we get the exact form
90/100
= 9/10
The exact form of the fraction is 9/10.
In the decimal form, the fraction can be written as 0.9.
The fraction can be written as 9/10.
The given inputs are 38/85,78/42,2,0.76,90%
After coverting each input to fraction format we get 38/85,78/42,2/1,19 / 25,9/10
Separate the denominators 85,42,1,25,10
Calculate the LCM of 85,42,1,25,10 i.e. 17850
Arrange the Inputs 85,42,1,25,10 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 | 85, 42, 1, 25, 10 |
| 5 | 85, 21, 1, 25, 5 |
| 17, 21, 1, 1, 5 |
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 17 x 21 x 1 x 1 x 5 = 17850
Therefore, LCM of 85,42,1,25,10 is 17850
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(85, 42) = 1
LCM(85, 42) = ( 85 x 42 ) / 1
LCM(85, 42) = 3570 / 1
LCM(85, 42) = 3570
Step2:
Here we consider the LCM from the above i.e. 3570 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3570, 1) = 1
LCM(3570, 1) = ( 3570 x 1 ) / 1
LCM(3570, 1) = 3570 / 1
LCM(3570, 1) = 3570
Step3:
Here we consider the LCM from the above i.e. 3570 as first number and the next as 25
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3570, 25) = 5
LCM(3570, 25) = ( 3570 x 25 ) / 5
LCM(3570, 25) = 89250 / 5
LCM(3570, 25) = 17850
Step4:
Here we consider the LCM from the above i.e. 17850 as first number and the next as 10
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(17850, 10) = 10
LCM(17850, 10) = ( 17850 x 10 ) / 10
LCM(17850, 10) = 178500 / 10
LCM(17850, 10) = 17850
LCM of 85,42,1,25,10 is 17850
Fractions after converting to a common denominator
7980/17850,33150/17850,35700/17850,13566/17850,16065/17850
Arrange fractions in ascending order
7980/17850 < 13566/17850 < 16065/17850 < 33150/17850 < 35700/17850
Ascending Order arrangements from Least to Greatest we get:
38/85 < 0.76 < 90% < 78/42 < 2
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FAQs on 38/85,78/42,2,0.76,90% Ordering Fractions From Least to Greatest
1. What is the ascending order of 38/85,78/42,2,0.76,90% ?
The order of 38/85,78/42,2,0.76,90% from least to greatest is 38/85 < 0.76 < 90% < 78/42 < 2
2. How to Order 38/85,78/42,2,0.76,90% from least to greatest?
To order a given set of fractions 38/85,78/42,2,0.76,90% 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., 38/85 < 0.76 < 90% < 78/42 < 2 .
3. How to Sort 38/85,78/42,2,0.76,90% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 38/85,78/42,2,0.76,90% and click on the calculate button to see the result ie., 38/85 < 0.76 < 90% < 78/42 < 2 .