78/23, 98/65, 2 4/3 Fractions Average Calculator
78/23, 98/65, 2 4/3 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 78/23, 98/65, 2 4/3
Given fractions are 78/23,98/65,10/3
The LCM of 23,65,3 (denominators of the fractions) is 4485
Arrange the Inputs 23,65,3 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 4485
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(23, 65) = 1
LCM(23, 65) = ( 23 x 65 ) / 1
LCM(23, 65) = 1495 / 1
LCM(23, 65) = 1495
Step2:
Here we consider the LCM from the above i.e. 1495 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1495, 3) = 1
LCM(1495, 3) = ( 1495 x 3 ) / 1
LCM(1495, 3) = 4485 / 1
LCM(1495, 3) = 4485
LCM of 23,65,3 is 4485
The least common Multiple (LCM) is: 4485.
Rewriting as equivalent fractions with the LCM:
= 15210/4485,6762/4485,14950/4485
= 15210+6762+14950/4485
Totaling the numerator:
36922/4485
Dividing by the number of values: 3
The given fractions are 36922/4485 and 3/1
On dividing the both fractions,36922/4485 ÷ 3/1
Then the denominator of the first fraction i.e., 4485 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:
36922/4485 ÷ 3/1 = 36922 x 1/4485 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
36922/13455
Result: 36922/13455
Average of fraction = 36922/13455
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FAQs on Average of Fractions 78/23, 98/65, 2 4/3
1. What is the average of fractions 78/23, 98/65, 2 4/3 ?
Average of Fractions is 36922/13455
2. How to find the Average of Fractions 78/23, 98/65, 2 4/3 ?
Set up an addition equation with the given fractions 78/23, 98/65, 2 4/3 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 78/23, 98/65, 2 4/3 ?
You can find the elaborate solution to find the Average of Fractions 78/23, 98/65, 2 4/3 on our page.