31/57, 6/4, 48/87 Fractions Average Calculator
31/57, 6/4, 48/87 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 31/57, 6/4, 48/87
Given fractions are 31/57,6/4,48/87
The LCM of 57,4,87 (denominators of the fractions) is 6612
Arrange the Inputs 57,4,87 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.
| 3 | 57, 4, 87 |
| 19, 4, 29 |
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. 3 x 19 x 4 x 29 = 6612
Therefore, LCM of 57,4,87 is 6612
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(57, 4) = 1
LCM(57, 4) = ( 57 x 4 ) / 1
LCM(57, 4) = 228 / 1
LCM(57, 4) = 228
Step2:
Here we consider the LCM from the above i.e. 228 as first number and the next as 87
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(228, 87) = 3
LCM(228, 87) = ( 228 x 87 ) / 3
LCM(228, 87) = 19836 / 3
LCM(228, 87) = 6612
LCM of 57,4,87 is 6612
The least common Multiple (LCM) is: 6612.
Rewriting as equivalent fractions with the LCM:
= 3596/6612,9918/6612,3648/6612
= 3596+9918+3648/6612
Totaling the numerator:
17162/6612
Reducing the fraction:
8581/3306
Dividing by the number of values: 3
The given fractions are 8581/3306 and 3/1
On dividing the both fractions,8581/3306 ÷ 3/1
Then the denominator of the first fraction i.e., 3306 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:
8581/3306 ÷ 3/1 = 8581 x 1/3306 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
8581/9918
Result: 8581/9918
Average of fraction = 8581/9918
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FAQs on Average of Fractions 31/57, 6/4, 48/87
1. What is the average of fractions 31/57, 6/4, 48/87 ?
Average of Fractions is 8581/9918
2. How to find the Average of Fractions 31/57, 6/4, 48/87 ?
Set up an addition equation with the given fractions 31/57, 6/4, 48/87 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 31/57, 6/4, 48/87 ?
You can find the elaborate solution to find the Average of Fractions 31/57, 6/4, 48/87 on our page.