16/61, 11/77, 1/4, 9 3/85 Fractions Average Calculator
16/61, 11/77, 1/4, 9 3/85 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 16/61, 11/77, 1/4, 9 3/85
Given fractions are 16/61,11/77,1/4,768/85
The LCM of 61,77,4,85 (denominators of the fractions) is 1596980
Arrange the Inputs 61,77,4,85 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 1596980
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(61, 77) = 1
LCM(61, 77) = ( 61 x 77 ) / 1
LCM(61, 77) = 4697 / 1
LCM(61, 77) = 4697
Step2:
Here we consider the LCM from the above i.e. 4697 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4697, 4) = 1
LCM(4697, 4) = ( 4697 x 4 ) / 1
LCM(4697, 4) = 18788 / 1
LCM(4697, 4) = 18788
Step3:
Here we consider the LCM from the above i.e. 18788 as first number and the next as 85
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(18788, 85) = 1
LCM(18788, 85) = ( 18788 x 85 ) / 1
LCM(18788, 85) = 1596980 / 1
LCM(18788, 85) = 1596980
LCM of 61,77,4,85 is 1596980
The least common Multiple (LCM) is: 1596980.
Rewriting as equivalent fractions with the LCM:
= 418880/1596980,228140/1596980,399245/1596980,14429184/1596980
= 418880+228140+399245+14429184/1596980
Totaling the numerator:
15475449/1596980
Reducing the fraction:
1406859/145180
Dividing by the number of values: 4
The given fractions are 1406859/145180 and 4/1
On dividing the both fractions,1406859/145180 ÷ 4/1
Then the denominator of the first fraction i.e., 145180 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:
1406859/145180 ÷ 4/1 = 1406859 x 1/145180 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
1406859/580720
Result: 1406859/580720
Average of fraction = 1406859/580720
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 25/57 ,20/65 ,9/7,3 2/24
- Average of Fractions 94/99 ,46/98 ,1/5,7 7/72
- Average of Fractions 60/70 ,39/96 ,1/6,7 2/64
- Average of Fractions 37/87 ,60/75 ,9/5,3 8/65
- Average of Fractions 73/81 ,34/58 ,2/6,3 3/57
- Average of Fractions 29/66 ,66/96 ,2/4,7 3/71
- Average of Fractions 34/51 ,31/68 ,7/2,1 9/17
- Average of Fractions 68/44 ,71/18 ,4/4,5 8/82
- Average of Fractions 80/19 ,40/49 ,4/5,2 9/58
- Average of Fractions 76/59 ,89/14 ,1/2,8 5/56
FAQs on Average of Fractions 16/61, 11/77, 1/4, 9 3/85
1. What is the average of fractions 16/61, 11/77, 1/4, 9 3/85 ?
Average of Fractions is 1406859/580720
2. How to find the Average of Fractions 16/61, 11/77, 1/4, 9 3/85 ?
Set up an addition equation with the given fractions 16/61, 11/77, 1/4, 9 3/85 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 16/61, 11/77, 1/4, 9 3/85 ?
You can find the elaborate solution to find the Average of Fractions 16/61, 11/77, 1/4, 9 3/85 on our page.