39/52, 90/96, 7 1/4 Fractions Average Calculator
39/52, 90/96, 7 1/4 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 39/52, 90/96, 7 1/4
Given fractions are 39/52,90/96,29/4
The LCM of 52,96,4 (denominators of the fractions) is 1248
Arrange the Inputs 52,96,4 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 | 52, 96, 4 |
| 2 | 26, 48, 2 |
| 13, 24, 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 2 x 13 x 24 x 1 = 1248
Therefore, LCM of 52,96,4 is 1248
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(52, 96) = 4
LCM(52, 96) = ( 52 x 96 ) / 4
LCM(52, 96) = 4992 / 4
LCM(52, 96) = 1248
Step2:
Here we consider the LCM from the above i.e. 1248 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1248, 4) = 4
LCM(1248, 4) = ( 1248 x 4 ) / 4
LCM(1248, 4) = 4992 / 4
LCM(1248, 4) = 1248
LCM of 52,96,4 is 1248
The least common Multiple (LCM) is: 1248.
Rewriting as equivalent fractions with the LCM:
= 936/1248,1170/1248,9048/1248
= 936+1170+9048/1248
Totaling the numerator:
11154/1248
Reducing the fraction:
143/16
Dividing by the number of values: 3
The given fractions are 143/16 and 3/1
On dividing the both fractions,143/16 ÷ 3/1
Then the denominator of the first fraction i.e., 16 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:
143/16 ÷ 3/1 = 143 x 1/16 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
143/48
Result: 143/48
Average of fraction = 143/48
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FAQs on Average of Fractions 39/52, 90/96, 7 1/4
1. What is the average of fractions 39/52, 90/96, 7 1/4 ?
Average of Fractions is 143/48
2. How to find the Average of Fractions 39/52, 90/96, 7 1/4 ?
Set up an addition equation with the given fractions 39/52, 90/96, 7 1/4 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 39/52, 90/96, 7 1/4 ?
You can find the elaborate solution to find the Average of Fractions 39/52, 90/96, 7 1/4 on our page.