6/41, 69/37, 1 2/30 Fractions Average Calculator
6/41, 69/37, 1 2/30 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 6/41, 69/37, 1 2/30
Given fractions are 6/41,69/37,16/15
The LCM of 41,37,15 (denominators of the fractions) is 22755
Arrange the Inputs 41,37,15 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 22755
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(41, 37) = 1
LCM(41, 37) = ( 41 x 37 ) / 1
LCM(41, 37) = 1517 / 1
LCM(41, 37) = 1517
Step2:
Here we consider the LCM from the above i.e. 1517 as first number and the next as 15
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1517, 15) = 1
LCM(1517, 15) = ( 1517 x 15 ) / 1
LCM(1517, 15) = 22755 / 1
LCM(1517, 15) = 22755
LCM of 41,37,15 is 22755
The least common Multiple (LCM) is: 22755.
Rewriting as equivalent fractions with the LCM:
= 3330/22755,42435/22755,24272/22755
= 3330+42435+24272/22755
Totaling the numerator:
70037/22755
Dividing by the number of values: 3
The given fractions are 70037/22755 and 3/1
On dividing the both fractions,70037/22755 ÷ 3/1
Then the denominator of the first fraction i.e., 22755 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:
70037/22755 ÷ 3/1 = 70037 x 1/22755 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
70037/68265
Result: 70037/68265
Average of fraction = 70037/68265
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FAQs on Average of Fractions 6/41, 69/37, 1 2/30
1. What is the average of fractions 6/41, 69/37, 1 2/30 ?
Average of Fractions is 70037/68265
2. How to find the Average of Fractions 6/41, 69/37, 1 2/30 ?
Set up an addition equation with the given fractions 6/41, 69/37, 1 2/30 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 6/41, 69/37, 1 2/30 ?
You can find the elaborate solution to find the Average of Fractions 6/41, 69/37, 1 2/30 on our page.