61/77, 5/1, 87/96 Fractions Average Calculator
61/77, 5/1, 87/96 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 61/77, 5/1, 87/96
Given fractions are 61/77,5/1,87/96
The LCM of 77,1,96 (denominators of the fractions) is 7392
Arrange the Inputs 77,1,96 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 7392
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(77, 1) = 1
LCM(77, 1) = ( 77 x 1 ) / 1
LCM(77, 1) = 77 / 1
LCM(77, 1) = 77
Step2:
Here we consider the LCM from the above i.e. 77 as first number and the next as 96
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(77, 96) = 1
LCM(77, 96) = ( 77 x 96 ) / 1
LCM(77, 96) = 7392 / 1
LCM(77, 96) = 7392
LCM of 77,1,96 is 7392
The least common Multiple (LCM) is: 7392.
Rewriting as equivalent fractions with the LCM:
= 5856/7392,36960/7392,6699/7392
= 5856+36960+6699/7392
Totaling the numerator:
49515/7392
Reducing the fraction:
16505/2464
Dividing by the number of values: 3
The given fractions are 16505/2464 and 3/1
On dividing the both fractions,16505/2464 ÷ 3/1
Then the denominator of the first fraction i.e., 2464 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:
16505/2464 ÷ 3/1 = 16505 x 1/2464 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
16505/7392
Result: 16505/7392
Average of fraction = 16505/7392
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FAQs on Average of Fractions 61/77, 5/1, 87/96
1. What is the average of fractions 61/77, 5/1, 87/96 ?
Average of Fractions is 16505/7392
2. How to find the Average of Fractions 61/77, 5/1, 87/96 ?
Set up an addition equation with the given fractions 61/77, 5/1, 87/96 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 61/77, 5/1, 87/96 ?
You can find the elaborate solution to find the Average of Fractions 61/77, 5/1, 87/96 on our page.