80/59, 82/47, 7/3, 8 9/22 Fractions Average Calculator
80/59, 82/47, 7/3, 8 9/22 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 80/59, 82/47, 7/3, 8 9/22
Given fractions are 80/59,82/47,7/3,185/22
The LCM of 59,47,3,22 (denominators of the fractions) is 183018
Arrange the Inputs 59,47,3,22 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 183018
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(59, 47) = 1
LCM(59, 47) = ( 59 x 47 ) / 1
LCM(59, 47) = 2773 / 1
LCM(59, 47) = 2773
Step2:
Here we consider the LCM from the above i.e. 2773 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2773, 3) = 1
LCM(2773, 3) = ( 2773 x 3 ) / 1
LCM(2773, 3) = 8319 / 1
LCM(2773, 3) = 8319
Step3:
Here we consider the LCM from the above i.e. 8319 as first number and the next as 22
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(8319, 22) = 1
LCM(8319, 22) = ( 8319 x 22 ) / 1
LCM(8319, 22) = 183018 / 1
LCM(8319, 22) = 183018
LCM of 59,47,3,22 is 183018
The least common Multiple (LCM) is: 183018.
Rewriting as equivalent fractions with the LCM:
= 248160/183018,319308/183018,427042/183018,1539015/183018
= 248160+319308+427042+1539015/183018
Totaling the numerator:
2533525/183018
Dividing by the number of values: 4
The given fractions are 2533525/183018 and 4/1
On dividing the both fractions,2533525/183018 ÷ 4/1
Then the denominator of the first fraction i.e., 183018 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:
2533525/183018 ÷ 4/1 = 2533525 x 1/183018 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
2533525/732072
Result: 2533525/732072
Average of fraction = 2533525/732072
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FAQs on Average of Fractions 80/59, 82/47, 7/3, 8 9/22
1. What is the average of fractions 80/59, 82/47, 7/3, 8 9/22 ?
Average of Fractions is 2533525/732072
2. How to find the Average of Fractions 80/59, 82/47, 7/3, 8 9/22 ?
Set up an addition equation with the given fractions 80/59, 82/47, 7/3, 8 9/22 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 80/59, 82/47, 7/3, 8 9/22 ?
You can find the elaborate solution to find the Average of Fractions 80/59, 82/47, 7/3, 8 9/22 on our page.