41/99, 1/5, 82/48 Fractions Average Calculator
41/99, 1/5, 82/48 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 41/99, 1/5, 82/48
Given fractions are 41/99,1/5,82/48
The LCM of 99,5,48 (denominators of the fractions) is 7920
Arrange the Inputs 99,5,48 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 | 99, 5, 48 |
| 33, 5, 16 |
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 33 x 5 x 16 = 7920
Therefore, LCM of 99,5,48 is 7920
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(99, 5) = 1
LCM(99, 5) = ( 99 x 5 ) / 1
LCM(99, 5) = 495 / 1
LCM(99, 5) = 495
Step2:
Here we consider the LCM from the above i.e. 495 as first number and the next as 48
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(495, 48) = 3
LCM(495, 48) = ( 495 x 48 ) / 3
LCM(495, 48) = 23760 / 3
LCM(495, 48) = 7920
LCM of 99,5,48 is 7920
The least common Multiple (LCM) is: 7920.
Rewriting as equivalent fractions with the LCM:
= 3280/7920,1584/7920,13530/7920
= 3280+1584+13530/7920
Totaling the numerator:
18394/7920
Reducing the fraction:
9197/3960
Dividing by the number of values: 3
The given fractions are 9197/3960 and 3/1
On dividing the both fractions,9197/3960 ÷ 3/1
Then the denominator of the first fraction i.e., 3960 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:
9197/3960 ÷ 3/1 = 9197 x 1/3960 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
9197/11880
Result: 9197/11880
Average of fraction = 9197/11880
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FAQs on Average of Fractions 41/99, 1/5, 82/48
1. What is the average of fractions 41/99, 1/5, 82/48 ?
Average of Fractions is 9197/11880
2. How to find the Average of Fractions 41/99, 1/5, 82/48 ?
Set up an addition equation with the given fractions 41/99, 1/5, 82/48 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 41/99, 1/5, 82/48 ?
You can find the elaborate solution to find the Average of Fractions 41/99, 1/5, 82/48 on our page.