76/95, 9/2, 77/75 Fractions Average Calculator
76/95, 9/2, 77/75 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 76/95, 9/2, 77/75
Given fractions are 76/95,9/2,77/75
The LCM of 95,2,75 (denominators of the fractions) is 2850
Arrange the Inputs 95,2,75 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.
| 5 | 95, 2, 75 |
| 19, 2, 15 |
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. 5 x 19 x 2 x 15 = 2850
Therefore, LCM of 95,2,75 is 2850
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(95, 2) = 1
LCM(95, 2) = ( 95 x 2 ) / 1
LCM(95, 2) = 190 / 1
LCM(95, 2) = 190
Step2:
Here we consider the LCM from the above i.e. 190 as first number and the next as 75
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(190, 75) = 5
LCM(190, 75) = ( 190 x 75 ) / 5
LCM(190, 75) = 14250 / 5
LCM(190, 75) = 2850
LCM of 95,2,75 is 2850
The least common Multiple (LCM) is: 2850.
Rewriting as equivalent fractions with the LCM:
= 2280/2850,12825/2850,2926/2850
= 2280+12825+2926/2850
Totaling the numerator:
18031/2850
Reducing the fraction:
949/150
Dividing by the number of values: 3
The given fractions are 949/150 and 3/1
On dividing the both fractions,949/150 ÷ 3/1
Then the denominator of the first fraction i.e., 150 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:
949/150 ÷ 3/1 = 949 x 1/150 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
949/450
Result: 949/450
Average of fraction = 949/450
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FAQs on Average of Fractions 76/95, 9/2, 77/75
1. What is the average of fractions 76/95, 9/2, 77/75 ?
Average of Fractions is 949/450
2. How to find the Average of Fractions 76/95, 9/2, 77/75 ?
Set up an addition equation with the given fractions 76/95, 9/2, 77/75 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 76/95, 9/2, 77/75 ?
You can find the elaborate solution to find the Average of Fractions 76/95, 9/2, 77/75 on our page.