42/57, 9/5, 39/21 Fractions Average Calculator
42/57, 9/5, 39/21 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 42/57, 9/5, 39/21
Given fractions are 42/57,9/5,39/21
The LCM of 57,5,21 (denominators of the fractions) is 1995
Arrange the Inputs 57,5,21 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 | 57, 5, 21 |
| 19, 5, 7 |
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 19 x 5 x 7 = 1995
Therefore, LCM of 57,5,21 is 1995
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(57, 5) = 1
LCM(57, 5) = ( 57 x 5 ) / 1
LCM(57, 5) = 285 / 1
LCM(57, 5) = 285
Step2:
Here we consider the LCM from the above i.e. 285 as first number and the next as 21
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(285, 21) = 3
LCM(285, 21) = ( 285 x 21 ) / 3
LCM(285, 21) = 5985 / 3
LCM(285, 21) = 1995
LCM of 57,5,21 is 1995
The least common Multiple (LCM) is: 1995.
Rewriting as equivalent fractions with the LCM:
= 1470/1995,3591/1995,3705/1995
= 1470+3591+3705/1995
Totaling the numerator:
8766/1995
Reducing the fraction:
2922/665
Dividing by the number of values: 3
The given fractions are 2922/665 and 3/1
On dividing the both fractions,2922/665 ÷ 3/1
Then the denominator of the first fraction i.e., 665 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:
2922/665 ÷ 3/1 = 2922 x 1/665 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
2922/1995
Result: 974/665
Average of fraction = 974/665
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 62/51 ,2/5 ,28/43
- Average of Fractions 35/57 ,6/2 ,91/59
- Average of Fractions 65/91 ,1/9 ,87/44
- Average of Fractions 91/75 ,4/9 ,48/38
- Average of Fractions 22/23 ,2/9 ,76/16
- Average of Fractions 57/14 ,1/3 ,49/92
- Average of Fractions 43/33 ,5/9 ,66/11
- Average of Fractions 12/82 ,2/2 ,95/76
- Average of Fractions 71/89 ,3/7 ,37/23
- Average of Fractions 39/83 ,6/4 ,20/26
FAQs on Average of Fractions 42/57, 9/5, 39/21
1. What is the average of fractions 42/57, 9/5, 39/21 ?
Average of Fractions is 974/665
2. How to find the Average of Fractions 42/57, 9/5, 39/21 ?
Set up an addition equation with the given fractions 42/57, 9/5, 39/21 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 42/57, 9/5, 39/21 ?
You can find the elaborate solution to find the Average of Fractions 42/57, 9/5, 39/21 on our page.