46/78, 76/29, 7/3, 3 3/50 Fractions Average Calculator
46/78, 76/29, 7/3, 3 3/50 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 46/78, 76/29, 7/3, 3 3/50
Given fractions are 46/78,76/29,7/3,153/50
The LCM of 78,29,3,50 (denominators of the fractions) is 56550
Arrange the Inputs 78,29,3,50 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.
| 2 | 78, 29, 3, 50 |
| 3 | 39, 29, 3, 25 |
| 13, 29, 1, 25 |
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. 2 x 3 x 13 x 29 x 1 x 25 = 56550
Therefore, LCM of 78,29,3,50 is 56550
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(78, 29) = 1
LCM(78, 29) = ( 78 x 29 ) / 1
LCM(78, 29) = 2262 / 1
LCM(78, 29) = 2262
Step2:
Here we consider the LCM from the above i.e. 2262 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2262, 3) = 3
LCM(2262, 3) = ( 2262 x 3 ) / 3
LCM(2262, 3) = 6786 / 3
LCM(2262, 3) = 2262
Step3:
Here we consider the LCM from the above i.e. 2262 as first number and the next as 50
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2262, 50) = 2
LCM(2262, 50) = ( 2262 x 50 ) / 2
LCM(2262, 50) = 113100 / 2
LCM(2262, 50) = 56550
LCM of 78,29,3,50 is 56550
The least common Multiple (LCM) is: 56550.
Rewriting as equivalent fractions with the LCM:
= 33350/56550,148200/56550,131950/56550,173043/56550
= 33350+148200+131950+173043/56550
Totaling the numerator:
486543/56550
Reducing the fraction:
162181/18850
Dividing by the number of values: 4
The given fractions are 162181/18850 and 4/1
On dividing the both fractions,162181/18850 ÷ 4/1
Then the denominator of the first fraction i.e., 18850 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:
162181/18850 ÷ 4/1 = 162181 x 1/18850 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
162181/75400
Result: 162181/75400
Average of fraction = 162181/75400
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FAQs on Average of Fractions 46/78, 76/29, 7/3, 3 3/50
1. What is the average of fractions 46/78, 76/29, 7/3, 3 3/50 ?
Average of Fractions is 162181/75400
2. How to find the Average of Fractions 46/78, 76/29, 7/3, 3 3/50 ?
Set up an addition equation with the given fractions 46/78, 76/29, 7/3, 3 3/50 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 46/78, 76/29, 7/3, 3 3/50 ?
You can find the elaborate solution to find the Average of Fractions 46/78, 76/29, 7/3, 3 3/50 on our page.