91/40, 2/4, 69/36 Fractions Average Calculator
91/40, 2/4, 69/36 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 91/40, 2/4, 69/36
Given fractions are 91/40,2/4,69/36
The LCM of 40,4,36 (denominators of the fractions) is 360
Arrange the Inputs 40,4,36 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 | 40, 4, 36 |
2 | 20, 2, 18 |
10, 1, 9 |
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 10 x 1 x 9 = 360
Therefore, LCM of 40,4,36 is 360
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(40, 4) = 4
LCM(40, 4) = ( 40 x 4 ) / 4
LCM(40, 4) = 160 / 4
LCM(40, 4) = 40
Step2:
Here we consider the LCM from the above i.e. 40 as first number and the next as 36
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(40, 36) = 4
LCM(40, 36) = ( 40 x 36 ) / 4
LCM(40, 36) = 1440 / 4
LCM(40, 36) = 360
LCM of 40,4,36 is 360
The least common Multiple (LCM) is: 360.
Rewriting as equivalent fractions with the LCM:
= 819/360,180/360,690/360
= 819+180+690/360
Totaling the numerator:
1689/360
Reducing the fraction:
563/120
Dividing by the number of values: 3
The given fractions are 563/120 and 3/1
On dividing the both fractions,563/120 ÷ 3/1
Then the denominator of the first fraction i.e., 120 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:
563/120 ÷ 3/1 = 563 x 1/120 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
563/360
Result: 563/360
Average of fraction = 563/360
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FAQs on Average of Fractions 91/40, 2/4, 69/36
1. What is the average of fractions 91/40, 2/4, 69/36 ?
Average of Fractions is 563/360
2. How to find the Average of Fractions 91/40, 2/4, 69/36 ?
Set up an addition equation with the given fractions 91/40, 2/4, 69/36 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 91/40, 2/4, 69/36 ?
You can find the elaborate solution to find the Average of Fractions 91/40, 2/4, 69/36 on our page.