70/17, 9/4, 52/67 Fractions Average Calculator
70/17, 9/4, 52/67 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 70/17, 9/4, 52/67
Given fractions are 70/17,9/4,52/67
The LCM of 17,4,67 (denominators of the fractions) is 4556
Arrange the Inputs 17,4,67 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 4556
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(17, 4) = 1
LCM(17, 4) = ( 17 x 4 ) / 1
LCM(17, 4) = 68 / 1
LCM(17, 4) = 68
Step2:
Here we consider the LCM from the above i.e. 68 as first number and the next as 67
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(68, 67) = 1
LCM(68, 67) = ( 68 x 67 ) / 1
LCM(68, 67) = 4556 / 1
LCM(68, 67) = 4556
LCM of 17,4,67 is 4556
The least common Multiple (LCM) is: 4556.
Rewriting as equivalent fractions with the LCM:
= 18760/4556,10251/4556,3536/4556
= 18760+10251+3536/4556
Totaling the numerator:
32547/4556
Dividing by the number of values: 3
The given fractions are 32547/4556 and 3/1
On dividing the both fractions,32547/4556 ÷ 3/1
Then the denominator of the first fraction i.e., 4556 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:
32547/4556 ÷ 3/1 = 32547 x 1/4556 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
32547/13668
Result: 10849/4556
Average of fraction = 10849/4556
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FAQs on Average of Fractions 70/17, 9/4, 52/67
1. What is the average of fractions 70/17, 9/4, 52/67 ?
Average of Fractions is 10849/4556
2. How to find the Average of Fractions 70/17, 9/4, 52/67 ?
Set up an addition equation with the given fractions 70/17, 9/4, 52/67 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 70/17, 9/4, 52/67 ?
You can find the elaborate solution to find the Average of Fractions 70/17, 9/4, 52/67 on our page.