40/63, 56/64, 5 7/9 Fractions Average Calculator
40/63, 56/64, 5 7/9 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 40/63, 56/64, 5 7/9
Given fractions are 40/63,56/64,52/9
The LCM of 63,64,9 (denominators of the fractions) is 4032
Arrange the Inputs 63,64,9 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 | 63, 64, 9 |
3 | 21, 64, 3 |
7, 64, 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. 3 x 3 x 7 x 64 x 1 = 4032
Therefore, LCM of 63,64,9 is 4032
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(63, 64) = 1
LCM(63, 64) = ( 63 x 64 ) / 1
LCM(63, 64) = 4032 / 1
LCM(63, 64) = 4032
Step2:
Here we consider the LCM from the above i.e. 4032 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(4032, 9) = 9
LCM(4032, 9) = ( 4032 x 9 ) / 9
LCM(4032, 9) = 36288 / 9
LCM(4032, 9) = 4032
LCM of 63,64,9 is 4032
The least common Multiple (LCM) is: 4032.
Rewriting as equivalent fractions with the LCM:
= 2560/4032,3528/4032,23296/4032
= 2560+3528+23296/4032
Totaling the numerator:
29384/4032
Reducing the fraction:
3673/504
Dividing by the number of values: 3
The given fractions are 3673/504 and 3/1
On dividing the both fractions,3673/504 ÷ 3/1
Then the denominator of the first fraction i.e., 504 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:
3673/504 ÷ 3/1 = 3673 x 1/504 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
3673/1512
Result: 3673/1512
Average of fraction = 3673/1512
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 25/43 ,92/79,4 5/9
- Average of Fractions 29/76 ,70/40,1 7/9
- Average of Fractions 58/12 ,80/17,7 2/1
- Average of Fractions 53/18 ,44/29,1 9/4
- Average of Fractions 29/76 ,86/58,1 5/9
- Average of Fractions 77/13 ,24/42,4 6/1
- Average of Fractions 22/79 ,66/34,1 7/6
- Average of Fractions 27/46 ,83/28,3 2/7
- Average of Fractions 63/32 ,48/42,1 6/3
- Average of Fractions 17/74 ,70/50,8 1/1
FAQs on Average of Fractions 40/63, 56/64, 5 7/9
1. What is the average of fractions 40/63, 56/64, 5 7/9 ?
Average of Fractions is 3673/1512
2. How to find the Average of Fractions 40/63, 56/64, 5 7/9 ?
Set up an addition equation with the given fractions 40/63, 56/64, 5 7/9 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 40/63, 56/64, 5 7/9 ?
You can find the elaborate solution to find the Average of Fractions 40/63, 56/64, 5 7/9 on our page.