5/97, 48/45, 3 1/2 Fractions Average Calculator
5/97, 48/45, 3 1/2 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 5/97, 48/45, 3 1/2
Given fractions are 5/97,48/45,7/2
The LCM of 97,45,2 (denominators of the fractions) is 8730
Arrange the Inputs 97,45,2 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 8730
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(97, 45) = 1
LCM(97, 45) = ( 97 x 45 ) / 1
LCM(97, 45) = 4365 / 1
LCM(97, 45) = 4365
Step2:
Here we consider the LCM from the above i.e. 4365 as first number and the next as 2
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4365, 2) = 1
LCM(4365, 2) = ( 4365 x 2 ) / 1
LCM(4365, 2) = 8730 / 1
LCM(4365, 2) = 8730
LCM of 97,45,2 is 8730
The least common Multiple (LCM) is: 8730.
Rewriting as equivalent fractions with the LCM:
= 450/8730,9312/8730,30555/8730
= 450+9312+30555/8730
Totaling the numerator:
40317/8730
Reducing the fraction:
13439/2910
Dividing by the number of values: 3
The given fractions are 13439/2910 and 3/1
On dividing the both fractions,13439/2910 ÷ 3/1
Then the denominator of the first fraction i.e., 2910 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:
13439/2910 ÷ 3/1 = 13439 x 1/2910 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
13439/8730
Result: 13439/8730
Average of fraction = 13439/8730
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FAQs on Average of Fractions 5/97, 48/45, 3 1/2
1. What is the average of fractions 5/97, 48/45, 3 1/2 ?
Average of Fractions is 13439/8730
2. How to find the Average of Fractions 5/97, 48/45, 3 1/2 ?
Set up an addition equation with the given fractions 5/97, 48/45, 3 1/2 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 5/97, 48/45, 3 1/2 ?
You can find the elaborate solution to find the Average of Fractions 5/97, 48/45, 3 1/2 on our page.