91/97, 32/24, 3/3, 8 5/49 Fractions Average Calculator
91/97, 32/24, 3/3, 8 5/49 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 91/97, 32/24, 3/3, 8 5/49
Given fractions are 91/97,32/24,3/3,397/49
The LCM of 97,24,3,49 (denominators of the fractions) is 114072
Arrange the Inputs 97,24,3,49 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.
3 | 97, 24, 3, 49 |
97, 8, 1, 49 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 3 x 97 x 8 x 1 x 49 = 114072
Therefore, LCM of 97,24,3,49 is 114072
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, 24) = 1
LCM(97, 24) = ( 97 x 24 ) / 1
LCM(97, 24) = 2328 / 1
LCM(97, 24) = 2328
Step2:
Here we consider the LCM from the above i.e. 2328 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2328, 3) = 3
LCM(2328, 3) = ( 2328 x 3 ) / 3
LCM(2328, 3) = 6984 / 3
LCM(2328, 3) = 2328
Step3:
Here we consider the LCM from the above i.e. 2328 as first number and the next as 49
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2328, 49) = 1
LCM(2328, 49) = ( 2328 x 49 ) / 1
LCM(2328, 49) = 114072 / 1
LCM(2328, 49) = 114072
LCM of 97,24,3,49 is 114072
The least common Multiple (LCM) is: 114072.
Rewriting as equivalent fractions with the LCM:
= 107016/114072,152096/114072,114072/114072,924216/114072
= 107016+152096+114072+924216/114072
Totaling the numerator:
1297400/114072
Reducing the fraction:
162175/14259
Dividing by the number of values: 4
The given fractions are 162175/14259 and 4/1
On dividing the both fractions,162175/14259 ÷ 4/1
Then the denominator of the first fraction i.e., 14259 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:
162175/14259 ÷ 4/1 = 162175 x 1/14259 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
162175/57036
Result: 162175/57036
Average of fraction = 162175/57036
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FAQs on Average of Fractions 91/97, 32/24, 3/3, 8 5/49
1. What is the average of fractions 91/97, 32/24, 3/3, 8 5/49 ?
Average of Fractions is 162175/57036
2. How to find the Average of Fractions 91/97, 32/24, 3/3, 8 5/49 ?
Set up an addition equation with the given fractions 91/97, 32/24, 3/3, 8 5/49 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 91/97, 32/24, 3/3, 8 5/49 ?
You can find the elaborate solution to find the Average of Fractions 91/97, 32/24, 3/3, 8 5/49 on our page.