72/12, 35/15, 4/4, 3 2/16 Fractions Average Calculator
72/12, 35/15, 4/4, 3 2/16 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 72/12, 35/15, 4/4, 3 2/16
Given fractions are 72/12,35/15,4/4,25/8
The LCM of 12,15,4,8 (denominators of the fractions) is 120
Arrange the Inputs 12,15,4,8 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 | 12, 15, 4, 8 |
| 2 | 6, 15, 2, 4 |
| 3 | 3, 15, 1, 2 |
| 1, 5, 1, 2 |
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 2 x 3 x 1 x 5 x 1 x 2 = 120
Therefore, LCM of 12,15,4,8 is 120
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(12, 15) = 3
LCM(12, 15) = ( 12 x 15 ) / 3
LCM(12, 15) = 180 / 3
LCM(12, 15) = 60
Step2:
Here we consider the LCM from the above i.e. 60 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(60, 4) = 4
LCM(60, 4) = ( 60 x 4 ) / 4
LCM(60, 4) = 240 / 4
LCM(60, 4) = 60
Step3:
Here we consider the LCM from the above i.e. 60 as first number and the next as 8
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(60, 8) = 4
LCM(60, 8) = ( 60 x 8 ) / 4
LCM(60, 8) = 480 / 4
LCM(60, 8) = 120
LCM of 12,15,4,8 is 120
The least common Multiple (LCM) is: 120.
Rewriting as equivalent fractions with the LCM:
= 720/120,280/120,120/120,375/120
= 720+280+120+375/120
Totaling the numerator:
1495/120
Reducing the fraction:
299/24
Dividing by the number of values: 4
The given fractions are 299/24 and 4/1
On dividing the both fractions,299/24 ÷ 4/1
Then the denominator of the first fraction i.e., 24 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:
299/24 ÷ 4/1 = 299 x 1/24 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
299/96
Result: 299/96
Average of fraction = 299/96
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FAQs on Average of Fractions 72/12, 35/15, 4/4, 3 2/16
1. What is the average of fractions 72/12, 35/15, 4/4, 3 2/16 ?
Average of Fractions is 299/96
2. How to find the Average of Fractions 72/12, 35/15, 4/4, 3 2/16 ?
Set up an addition equation with the given fractions 72/12, 35/15, 4/4, 3 2/16 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 72/12, 35/15, 4/4, 3 2/16 ?
You can find the elaborate solution to find the Average of Fractions 72/12, 35/15, 4/4, 3 2/16 on our page.