96/34, 8/7, 24/56 Fractions Average Calculator
96/34, 8/7, 24/56 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 96/34, 8/7, 24/56
Given fractions are 96/34,8/7,24/56
The LCM of 34,7,56 (denominators of the fractions) is 952
Arrange the Inputs 34,7,56 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 | 34, 7, 56 |
| 7 | 17, 7, 28 |
| 17, 1, 4 |
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 7 x 17 x 1 x 4 = 952
Therefore, LCM of 34,7,56 is 952
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(34, 7) = 1
LCM(34, 7) = ( 34 x 7 ) / 1
LCM(34, 7) = 238 / 1
LCM(34, 7) = 238
Step2:
Here we consider the LCM from the above i.e. 238 as first number and the next as 56
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(238, 56) = 14
LCM(238, 56) = ( 238 x 56 ) / 14
LCM(238, 56) = 13328 / 14
LCM(238, 56) = 952
LCM of 34,7,56 is 952
The least common Multiple (LCM) is: 952.
Rewriting as equivalent fractions with the LCM:
= 2688/952,1088/952,408/952
= 2688+1088+408/952
Totaling the numerator:
4184/952
Reducing the fraction:
523/119
Dividing by the number of values: 3
The given fractions are 523/119 and 3/1
On dividing the both fractions,523/119 ÷ 3/1
Then the denominator of the first fraction i.e., 119 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:
523/119 ÷ 3/1 = 523 x 1/119 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
523/357
Result: 523/357
Average of fraction = 523/357
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FAQs on Average of Fractions 96/34, 8/7, 24/56
1. What is the average of fractions 96/34, 8/7, 24/56 ?
Average of Fractions is 523/357
2. How to find the Average of Fractions 96/34, 8/7, 24/56 ?
Set up an addition equation with the given fractions 96/34, 8/7, 24/56 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 96/34, 8/7, 24/56 ?
You can find the elaborate solution to find the Average of Fractions 96/34, 8/7, 24/56 on our page.