33/85, 5/3, 35/16 Fractions Average Calculator
33/85, 5/3, 35/16 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 33/85, 5/3, 35/16
Given fractions are 33/85,5/3,35/16
The LCM of 85,3,16 (denominators of the fractions) is 4080
Arrange the Inputs 85,3,16 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 4080
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, 3) = 1
LCM(85, 3) = ( 85 x 3 ) / 1
LCM(85, 3) = 255 / 1
LCM(85, 3) = 255
Step2:
Here we consider the LCM from the above i.e. 255 as first number and the next as 16
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(255, 16) = 1
LCM(255, 16) = ( 255 x 16 ) / 1
LCM(255, 16) = 4080 / 1
LCM(255, 16) = 4080
LCM of 85,3,16 is 4080
The least common Multiple (LCM) is: 4080.
Rewriting as equivalent fractions with the LCM:
= 1584/4080,6800/4080,8925/4080
= 1584+6800+8925/4080
Totaling the numerator:
17309/4080
Dividing by the number of values: 3
The given fractions are 17309/4080 and 3/1
On dividing the both fractions,17309/4080 ÷ 3/1
Then the denominator of the first fraction i.e., 4080 will comes to the numerator of the second fraction and gets multiplied,
And in the same way,the denominator of the second fraction i.e., 1 will comes to the numerator of the first fraction and gets multiplied:
17309/4080 ÷ 3/1 = 17309 x 1/4080 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
17309/12240
Result: 17309/12240
Average of fraction = 17309/12240
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FAQs on Average of Fractions 33/85, 5/3, 35/16
1. What is the average of fractions 33/85, 5/3, 35/16 ?
Average of Fractions is 17309/12240
2. How to find the Average of Fractions 33/85, 5/3, 35/16 ?
Set up an addition equation with the given fractions 33/85, 5/3, 35/16 and then find the LCD. Rewrite each of the fractions as equivalent fractions using LCD. Add the numerators and place the sum over the LCD and reduce it further.
3. Where do I find an elaborate solution to find the Average of Fractions 33/85, 5/3, 35/16 ?
You can find the elaborate solution to find the Average of Fractions 33/85, 5/3, 35/16 on our page.