71/22, 2/7, 54/25 Fractions Average Calculator
71/22, 2/7, 54/25 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 71/22, 2/7, 54/25
Given fractions are 71/22,2/7,54/25
The LCM of 22,7,25 (denominators of the fractions) is 3850
Arrange the Inputs 22,7,25 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 3850
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(22, 7) = 1
LCM(22, 7) = ( 22 x 7 ) / 1
LCM(22, 7) = 154 / 1
LCM(22, 7) = 154
Step2:
Here we consider the LCM from the above i.e. 154 as first number and the next as 25
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(154, 25) = 1
LCM(154, 25) = ( 154 x 25 ) / 1
LCM(154, 25) = 3850 / 1
LCM(154, 25) = 3850
LCM of 22,7,25 is 3850
The least common Multiple (LCM) is: 3850.
Rewriting as equivalent fractions with the LCM:
= 12425/3850,1100/3850,8316/3850
= 12425+1100+8316/3850
Totaling the numerator:
21841/3850
Dividing by the number of values: 3
The given fractions are 21841/3850 and 3/1
On dividing the both fractions,21841/3850 ÷ 3/1
Then the denominator of the first fraction i.e., 3850 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:
21841/3850 ÷ 3/1 = 21841 x 1/3850 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
21841/11550
Result: 21841/11550
Average of fraction = 21841/11550
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FAQs on Average of Fractions 71/22, 2/7, 54/25
1. What is the average of fractions 71/22, 2/7, 54/25 ?
Average of Fractions is 21841/11550
2. How to find the Average of Fractions 71/22, 2/7, 54/25 ?
Set up an addition equation with the given fractions 71/22, 2/7, 54/25 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 71/22, 2/7, 54/25 ?
You can find the elaborate solution to find the Average of Fractions 71/22, 2/7, 54/25 on our page.