66/64, 4/5, 32/92 Fractions Average Calculator
66/64, 4/5, 32/92 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 66/64, 4/5, 32/92
Given fractions are 66/64,4/5,32/92
The LCM of 64,5,92 (denominators of the fractions) is 7360
Arrange the Inputs 64,5,92 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 | 64, 5, 92 |
| 2 | 32, 5, 46 |
| 16, 5, 23 |
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 16 x 5 x 23 = 7360
Therefore, LCM of 64,5,92 is 7360
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(64, 5) = 1
LCM(64, 5) = ( 64 x 5 ) / 1
LCM(64, 5) = 320 / 1
LCM(64, 5) = 320
Step2:
Here we consider the LCM from the above i.e. 320 as first number and the next as 92
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(320, 92) = 4
LCM(320, 92) = ( 320 x 92 ) / 4
LCM(320, 92) = 29440 / 4
LCM(320, 92) = 7360
LCM of 64,5,92 is 7360
The least common Multiple (LCM) is: 7360.
Rewriting as equivalent fractions with the LCM:
= 7590/7360,5888/7360,2560/7360
= 7590+5888+2560/7360
Totaling the numerator:
16038/7360
Reducing the fraction:
8019/3680
Dividing by the number of values: 3
The given fractions are 8019/3680 and 3/1
On dividing the both fractions,8019/3680 ÷ 3/1
Then the denominator of the first fraction i.e., 3680 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:
8019/3680 ÷ 3/1 = 8019 x 1/3680 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
8019/11040
Result: 2673/3680
Average of fraction = 2673/3680
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FAQs on Average of Fractions 66/64, 4/5, 32/92
1. What is the average of fractions 66/64, 4/5, 32/92 ?
Average of Fractions is 2673/3680
2. How to find the Average of Fractions 66/64, 4/5, 32/92 ?
Set up an addition equation with the given fractions 66/64, 4/5, 32/92 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 66/64, 4/5, 32/92 ?
You can find the elaborate solution to find the Average of Fractions 66/64, 4/5, 32/92 on our page.