65/38, 30/72, 7/7, 4 4/84 Fractions Average Calculator
65/38, 30/72, 7/7, 4 4/84 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 65/38, 30/72, 7/7, 4 4/84
Given fractions are 65/38,30/72,7/7,85/21
The LCM of 38,72,7,21 (denominators of the fractions) is 9576
Arrange the Inputs 38,72,7,21 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 | 38, 72, 7, 21 |
| 3 | 19, 36, 7, 21 |
| 7 | 19, 12, 7, 7 |
| 19, 12, 1, 1 |
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 7 x 19 x 12 x 1 x 1 = 9576
Therefore, LCM of 38,72,7,21 is 9576
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(38, 72) = 2
LCM(38, 72) = ( 38 x 72 ) / 2
LCM(38, 72) = 2736 / 2
LCM(38, 72) = 1368
Step2:
Here we consider the LCM from the above i.e. 1368 as first number and the next as 7
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1368, 7) = 1
LCM(1368, 7) = ( 1368 x 7 ) / 1
LCM(1368, 7) = 9576 / 1
LCM(1368, 7) = 9576
Step3:
Here we consider the LCM from the above i.e. 9576 as first number and the next as 21
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(9576, 21) = 21
LCM(9576, 21) = ( 9576 x 21 ) / 21
LCM(9576, 21) = 201096 / 21
LCM(9576, 21) = 9576
LCM of 38,72,7,21 is 9576
The least common Multiple (LCM) is: 9576.
Rewriting as equivalent fractions with the LCM:
= 16380/9576,3990/9576,9576/9576,38760/9576
= 16380+3990+9576+38760/9576
Totaling the numerator:
68706/9576
Reducing the fraction:
3817/532
Dividing by the number of values: 4
The given fractions are 3817/532 and 4/1
On dividing the both fractions,3817/532 ÷ 4/1
Then the denominator of the first fraction i.e., 532 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:
3817/532 ÷ 4/1 = 3817 x 1/532 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
3817/2128
Result: 3817/2128
Average of fraction = 3817/2128
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FAQs on Average of Fractions 65/38, 30/72, 7/7, 4 4/84
1. What is the average of fractions 65/38, 30/72, 7/7, 4 4/84 ?
Average of Fractions is 3817/2128
2. How to find the Average of Fractions 65/38, 30/72, 7/7, 4 4/84 ?
Set up an addition equation with the given fractions 65/38, 30/72, 7/7, 4 4/84 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 65/38, 30/72, 7/7, 4 4/84 ?
You can find the elaborate solution to find the Average of Fractions 65/38, 30/72, 7/7, 4 4/84 on our page.