36/14, 2/7, 14/73 Fractions Average Calculator
36/14, 2/7, 14/73 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 36/14, 2/7, 14/73
Given fractions are 36/14,2/7,14/73
The LCM of 14,7,73 (denominators of the fractions) is 1022
Arrange the Inputs 14,7,73 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.
| 7 | 14, 7, 73 |
| 2, 1, 73 |
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. 7 x 2 x 1 x 73 = 1022
Therefore, LCM of 14,7,73 is 1022
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(14, 7) = 7
LCM(14, 7) = ( 14 x 7 ) / 7
LCM(14, 7) = 98 / 7
LCM(14, 7) = 14
Step2:
Here we consider the LCM from the above i.e. 14 as first number and the next as 73
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(14, 73) = 1
LCM(14, 73) = ( 14 x 73 ) / 1
LCM(14, 73) = 1022 / 1
LCM(14, 73) = 1022
LCM of 14,7,73 is 1022
The least common Multiple (LCM) is: 1022.
Rewriting as equivalent fractions with the LCM:
= 2628/1022,292/1022,196/1022
= 2628+292+196/1022
Totaling the numerator:
3116/1022
Reducing the fraction:
1558/511
Dividing by the number of values: 3
The given fractions are 1558/511 and 3/1
On dividing the both fractions,1558/511 ÷ 3/1
Then the denominator of the first fraction i.e., 511 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:
1558/511 ÷ 3/1 = 1558 x 1/511 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1558/1533
Result: 1558/1533
Average of fraction = 1558/1533
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 85/84 ,9/8 ,19/46
- Average of Fractions 25/52 ,3/1 ,85/85
- Average of Fractions 75/14 ,2/3 ,37/74
- Average of Fractions 27/46 ,9/7 ,17/62
- Average of Fractions 92/26 ,3/2 ,44/17
- Average of Fractions 31/57 ,6/4 ,48/87
- Average of Fractions 72/21 ,2/2 ,35/90
- Average of Fractions 46/18 ,7/4 ,33/59
- Average of Fractions 47/39 ,4/3 ,33/82
- Average of Fractions 87/19 ,5/3 ,79/98
FAQs on Average of Fractions 36/14, 2/7, 14/73
1. What is the average of fractions 36/14, 2/7, 14/73 ?
Average of Fractions is 1558/1533
2. How to find the Average of Fractions 36/14, 2/7, 14/73 ?
Set up an addition equation with the given fractions 36/14, 2/7, 14/73 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 36/14, 2/7, 14/73 ?
You can find the elaborate solution to find the Average of Fractions 36/14, 2/7, 14/73 on our page.