5/11, 16/20, 6 1/7 Fractions Average Calculator
5/11, 16/20, 6 1/7 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 5/11, 16/20, 6 1/7
Given fractions are 5/11,16/20,43/7
The LCM of 11,20,7 (denominators of the fractions) is 1540
Arrange the Inputs 11,20,7 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.
Given numbers has no common factors except 1. So, there LCM is their product i.e 1540
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, 20) = 1
LCM(11, 20) = ( 11 x 20 ) / 1
LCM(11, 20) = 220 / 1
LCM(11, 20) = 220
Step2:
Here we consider the LCM from the above i.e. 220 as first number and the next as 7
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(220, 7) = 1
LCM(220, 7) = ( 220 x 7 ) / 1
LCM(220, 7) = 1540 / 1
LCM(220, 7) = 1540
LCM of 11,20,7 is 1540
The least common Multiple (LCM) is: 1540.
Rewriting as equivalent fractions with the LCM:
= 700/1540,1232/1540,9460/1540
= 700+1232+9460/1540
Totaling the numerator:
11392/1540
Reducing the fraction:
2848/385
Dividing by the number of values: 3
The given fractions are 2848/385 and 3/1
On dividing the both fractions,2848/385 ÷ 3/1
Then the denominator of the first fraction i.e., 385 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:
2848/385 ÷ 3/1 = 2848 x 1/385 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
2848/1155
Result: 2848/1155
Average of fraction = 2848/1155
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 8/10 ,41/43,3 2/3
- Average of Fractions 8/48 ,80/44,1 9/1
- Average of Fractions 7/25 ,11/19,2 8/2
- Average of Fractions 2/19 ,60/64,9 7/8
- Average of Fractions 2/44 ,32/96,2 4/2
- Average of Fractions 9/49 ,96/79,1 7/2
- Average of Fractions 5/78 ,61/30,8 8/9
- Average of Fractions 3/35 ,18/38,1 2/6
- Average of Fractions 7/70 ,44/33,9 3/1
- Average of Fractions 3/68 ,62/30,6 2/3
FAQs on Average of Fractions 5/11, 16/20, 6 1/7
1. What is the average of fractions 5/11, 16/20, 6 1/7 ?
Average of Fractions is 2848/1155
2. How to find the Average of Fractions 5/11, 16/20, 6 1/7 ?
Set up an addition equation with the given fractions 5/11, 16/20, 6 1/7 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 5/11, 16/20, 6 1/7 ?
You can find the elaborate solution to find the Average of Fractions 5/11, 16/20, 6 1/7 on our page.