77/45, 4/1, 40/69 Fractions Average Calculator
77/45, 4/1, 40/69 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 77/45, 4/1, 40/69
Given fractions are 77/45,4/1,40/69
The LCM of 45,1,69 (denominators of the fractions) is 1035
Arrange the Inputs 45,1,69 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.
| 3 | 45, 1, 69 |
| 15, 1, 23 |
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 15 x 1 x 23 = 1035
Therefore, LCM of 45,1,69 is 1035
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(45, 1) = 1
LCM(45, 1) = ( 45 x 1 ) / 1
LCM(45, 1) = 45 / 1
LCM(45, 1) = 45
Step2:
Here we consider the LCM from the above i.e. 45 as first number and the next as 69
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(45, 69) = 3
LCM(45, 69) = ( 45 x 69 ) / 3
LCM(45, 69) = 3105 / 3
LCM(45, 69) = 1035
LCM of 45,1,69 is 1035
The least common Multiple (LCM) is: 1035.
Rewriting as equivalent fractions with the LCM:
= 1771/1035,4140/1035,600/1035
= 1771+4140+600/1035
Totaling the numerator:
6511/1035
Dividing by the number of values: 3
The given fractions are 6511/1035 and 3/1
On dividing the both fractions,6511/1035 ÷ 3/1
Then the denominator of the first fraction i.e., 1035 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:
6511/1035 ÷ 3/1 = 6511 x 1/1035 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
6511/3105
Result: 6511/3105
Average of fraction = 6511/3105
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FAQs on Average of Fractions 77/45, 4/1, 40/69
1. What is the average of fractions 77/45, 4/1, 40/69 ?
Average of Fractions is 6511/3105
2. How to find the Average of Fractions 77/45, 4/1, 40/69 ?
Set up an addition equation with the given fractions 77/45, 4/1, 40/69 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 77/45, 4/1, 40/69 ?
You can find the elaborate solution to find the Average of Fractions 77/45, 4/1, 40/69 on our page.