3 3/9, 65/52, 89/20, 6/3 Fractions Average Calculator
3 3/9, 65/52, 89/20, 6/3 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 3 3/9, 65/52, 89/20, 6/3
Given fractions are 10/3,65/52,89/20,6/3
The LCM of 3,52,20,3 (denominators of the fractions) is 780
Arrange the Inputs 3,52,20,3 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 | 3, 52, 20, 3 |
| 2 | 3, 26, 10, 3 |
| 3 | 3, 13, 5, 3 |
| 1, 13, 5, 1 |
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 2 x 3 x 1 x 13 x 5 x 1 = 780
Therefore, LCM of 3,52,20,3 is 780
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(3, 52) = 1
LCM(3, 52) = ( 3 x 52 ) / 1
LCM(3, 52) = 156 / 1
LCM(3, 52) = 156
Step2:
Here we consider the LCM from the above i.e. 156 as first number and the next as 20
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(156, 20) = 4
LCM(156, 20) = ( 156 x 20 ) / 4
LCM(156, 20) = 3120 / 4
LCM(156, 20) = 780
Step3:
Here we consider the LCM from the above i.e. 780 as first number and the next as 3
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(780, 3) = 3
LCM(780, 3) = ( 780 x 3 ) / 3
LCM(780, 3) = 2340 / 3
LCM(780, 3) = 780
LCM of 3,52,20,3 is 780
The least common Multiple (LCM) is: 780.
Rewriting as equivalent fractions with the LCM:
= 2600/780,975/780,3471/780,1560/780
= 2600+975+3471+1560/780
Totaling the numerator:
8606/780
Reducing the fraction:
331/30
Dividing by the number of values: 4
The given fractions are 331/30 and 4/1
On dividing the both fractions,331/30 ÷ 4/1
Then the denominator of the first fraction i.e., 30 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:
331/30 ÷ 4/1 = 331 x 1/30 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
331/120
Result: 331/120
Average of fraction = 331/120
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 29/57 ,22/72 ,1/1,8 2/9
- Average of Fractions 45/70 ,87/46 ,3/5,3 6/3
- Average of Fractions 57/39 ,45/16 ,4/2,7 7/4
- Average of Fractions 71/21 ,66/53 ,4/7,4 6/7
- Average of Fractions 14/31 ,86/44 ,4/3,5 7/2
- Average of Fractions 80/35 ,79/76 ,4/5,6 2/5
- Average of Fractions 82/19 ,65/13 ,8/6,9 6/2
- Average of Fractions 84/63 ,34/23 ,3/5,8 7/5
- Average of Fractions 55/13 ,44/38 ,4/9,5 1/4
- Average of Fractions 96/29 ,31/77 ,2/2,9 9/4
FAQs on Average of Fractions 3 3/9, 65/52, 89/20, 6/3
1. What is the average of fractions 3 3/9, 65/52, 89/20, 6/3 ?
Average of Fractions is 331/120
2. How to find the Average of Fractions 3 3/9, 65/52, 89/20, 6/3 ?
Set up an addition equation with the given fractions 3 3/9, 65/52, 89/20, 6/3 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 3 3/9, 65/52, 89/20, 6/3 ?
You can find the elaborate solution to find the Average of Fractions 3 3/9, 65/52, 89/20, 6/3 on our page.