95/56, 3/1, 24/69 Fractions Average Calculator
95/56, 3/1, 24/69 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 95/56, 3/1, 24/69
Given fractions are 95/56,3/1,24/69
The LCM of 56,1,69 (denominators of the fractions) is 3864
Arrange the Inputs 56,1,69 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 3864
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(56, 1) = 1
LCM(56, 1) = ( 56 x 1 ) / 1
LCM(56, 1) = 56 / 1
LCM(56, 1) = 56
Step2:
Here we consider the LCM from the above i.e. 56 as first number and the next as 69
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(56, 69) = 1
LCM(56, 69) = ( 56 x 69 ) / 1
LCM(56, 69) = 3864 / 1
LCM(56, 69) = 3864
LCM of 56,1,69 is 3864
The least common Multiple (LCM) is: 3864.
Rewriting as equivalent fractions with the LCM:
= 6555/3864,11592/3864,1344/3864
= 6555+11592+1344/3864
Totaling the numerator:
19491/3864
Reducing the fraction:
6497/1288
Dividing by the number of values: 3
The given fractions are 6497/1288 and 3/1
On dividing the both fractions,6497/1288 ÷ 3/1
Then the denominator of the first fraction i.e., 1288 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:
6497/1288 ÷ 3/1 = 6497 x 1/1288 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
6497/3864
Result: 6497/3864
Average of fraction = 6497/3864
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FAQs on Average of Fractions 95/56, 3/1, 24/69
1. What is the average of fractions 95/56, 3/1, 24/69 ?
Average of Fractions is 6497/3864
2. How to find the Average of Fractions 95/56, 3/1, 24/69 ?
Set up an addition equation with the given fractions 95/56, 3/1, 24/69 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 95/56, 3/1, 24/69 ?
You can find the elaborate solution to find the Average of Fractions 95/56, 3/1, 24/69 on our page.