98/72, 5/7, 30/17 Fractions Average Calculator
98/72, 5/7, 30/17 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 98/72, 5/7, 30/17
Given fractions are 98/72,5/7,30/17
The LCM of 72,7,17 (denominators of the fractions) is 8568
Arrange the Inputs 72,7,17 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 8568
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(72, 7) = 1
LCM(72, 7) = ( 72 x 7 ) / 1
LCM(72, 7) = 504 / 1
LCM(72, 7) = 504
Step2:
Here we consider the LCM from the above i.e. 504 as first number and the next as 17
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(504, 17) = 1
LCM(504, 17) = ( 504 x 17 ) / 1
LCM(504, 17) = 8568 / 1
LCM(504, 17) = 8568
LCM of 72,7,17 is 8568
The least common Multiple (LCM) is: 8568.
Rewriting as equivalent fractions with the LCM:
= 11662/8568,6120/8568,15120/8568
= 11662+6120+15120/8568
Totaling the numerator:
32902/8568
Reducing the fraction:
16451/4284
Dividing by the number of values: 3
The given fractions are 16451/4284 and 3/1
On dividing the both fractions,16451/4284 ÷ 3/1
Then the denominator of the first fraction i.e., 4284 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:
16451/4284 ÷ 3/1 = 16451 x 1/4284 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
16451/12852
Result: 16451/12852
Average of fraction = 16451/12852
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FAQs on Average of Fractions 98/72, 5/7, 30/17
1. What is the average of fractions 98/72, 5/7, 30/17 ?
Average of Fractions is 16451/12852
2. How to find the Average of Fractions 98/72, 5/7, 30/17 ?
Set up an addition equation with the given fractions 98/72, 5/7, 30/17 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 98/72, 5/7, 30/17 ?
You can find the elaborate solution to find the Average of Fractions 98/72, 5/7, 30/17 on our page.