31/93, 20/73, 8/8, 7 7/83 Fractions Average Calculator
31/93, 20/73, 8/8, 7 7/83 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 31/93, 20/73, 8/8, 7 7/83
Given fractions are 31/93,20/73,8/8,588/83
The LCM of 93,73,8,83 (denominators of the fractions) is 4507896
Arrange the Inputs 93,73,8,83 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 4507896
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(93, 73) = 1
LCM(93, 73) = ( 93 x 73 ) / 1
LCM(93, 73) = 6789 / 1
LCM(93, 73) = 6789
Step2:
Here we consider the LCM from the above i.e. 6789 as first number and the next as 8
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(6789, 8) = 1
LCM(6789, 8) = ( 6789 x 8 ) / 1
LCM(6789, 8) = 54312 / 1
LCM(6789, 8) = 54312
Step3:
Here we consider the LCM from the above i.e. 54312 as first number and the next as 83
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(54312, 83) = 1
LCM(54312, 83) = ( 54312 x 83 ) / 1
LCM(54312, 83) = 4507896 / 1
LCM(54312, 83) = 4507896
LCM of 93,73,8,83 is 4507896
The least common Multiple (LCM) is: 4507896.
Rewriting as equivalent fractions with the LCM:
= 1502632/4507896,1235040/4507896,4507896/4507896,31935456/4507896
= 1502632+1235040+4507896+31935456/4507896
Totaling the numerator:
39181024/4507896
Reducing the fraction:
157988/18177
Dividing by the number of values: 4
The given fractions are 157988/18177 and 4/1
On dividing the both fractions,157988/18177 ÷ 4/1
Then the denominator of the first fraction i.e., 18177 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:
157988/18177 ÷ 4/1 = 157988 x 1/18177 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
157988/72708
Result: 39497/18177
Average of fraction = 39497/18177
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FAQs on Average of Fractions 31/93, 20/73, 8/8, 7 7/83
1. What is the average of fractions 31/93, 20/73, 8/8, 7 7/83 ?
Average of Fractions is 39497/18177
2. How to find the Average of Fractions 31/93, 20/73, 8/8, 7 7/83 ?
Set up an addition equation with the given fractions 31/93, 20/73, 8/8, 7 7/83 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 31/93, 20/73, 8/8, 7 7/83 ?
You can find the elaborate solution to find the Average of Fractions 31/93, 20/73, 8/8, 7 7/83 on our page.