43/11, 6/6, 61/16 Fractions Average Calculator
43/11, 6/6, 61/16 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 43/11, 6/6, 61/16
Given fractions are 43/11,6/6,61/16
The LCM of 11,6,16 (denominators of the fractions) is 528
Arrange the Inputs 11,6,16 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 | 11, 6, 16 |
| 11, 3, 8 |
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 11 x 3 x 8 = 528
Therefore, LCM of 11,6,16 is 528
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(11, 6) = 1
LCM(11, 6) = ( 11 x 6 ) / 1
LCM(11, 6) = 66 / 1
LCM(11, 6) = 66
Step2:
Here we consider the LCM from the above i.e. 66 as first number and the next as 16
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(66, 16) = 2
LCM(66, 16) = ( 66 x 16 ) / 2
LCM(66, 16) = 1056 / 2
LCM(66, 16) = 528
LCM of 11,6,16 is 528
The least common Multiple (LCM) is: 528.
Rewriting as equivalent fractions with the LCM:
= 2064/528,528/528,2013/528
= 2064+528+2013/528
Totaling the numerator:
4605/528
Reducing the fraction:
1535/176
Dividing by the number of values: 3
The given fractions are 1535/176 and 3/1
On dividing the both fractions,1535/176 ÷ 3/1
Then the denominator of the first fraction i.e., 176 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:
1535/176 ÷ 3/1 = 1535 x 1/176 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1535/528
Result: 1535/528
Average of fraction = 1535/528
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FAQs on Average of Fractions 43/11, 6/6, 61/16
1. What is the average of fractions 43/11, 6/6, 61/16 ?
Average of Fractions is 1535/528
2. How to find the Average of Fractions 43/11, 6/6, 61/16 ?
Set up an addition equation with the given fractions 43/11, 6/6, 61/16 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 43/11, 6/6, 61/16 ?
You can find the elaborate solution to find the Average of Fractions 43/11, 6/6, 61/16 on our page.