9/27, 46/74, 1 4/5 Fractions Average Calculator
9/27, 46/74, 1 4/5 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 9/27, 46/74, 1 4/5
Given fractions are 9/27,46/74,9/5
The LCM of 27,74,5 (denominators of the fractions) is 9990
Arrange the Inputs 27,74,5 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.
Given numbers has no common factors except 1. So, there LCM is their product i.e 9990
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(27, 74) = 1
LCM(27, 74) = ( 27 x 74 ) / 1
LCM(27, 74) = 1998 / 1
LCM(27, 74) = 1998
Step2:
Here we consider the LCM from the above i.e. 1998 as first number and the next as 5
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1998, 5) = 1
LCM(1998, 5) = ( 1998 x 5 ) / 1
LCM(1998, 5) = 9990 / 1
LCM(1998, 5) = 9990
LCM of 27,74,5 is 9990
The least common Multiple (LCM) is: 9990.
Rewriting as equivalent fractions with the LCM:
= 3330/9990,6210/9990,17982/9990
= 3330+6210+17982/9990
Totaling the numerator:
27522/9990
Reducing the fraction:
1529/555
Dividing by the number of values: 3
The given fractions are 1529/555 and 3/1
On dividing the both fractions,1529/555 ÷ 3/1
Then the denominator of the first fraction i.e., 555 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:
1529/555 ÷ 3/1 = 1529 x 1/555 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1529/1665
Result: 1529/1665
Average of fraction = 1529/1665
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FAQs on Average of Fractions 9/27, 46/74, 1 4/5
1. What is the average of fractions 9/27, 46/74, 1 4/5 ?
Average of Fractions is 1529/1665
2. How to find the Average of Fractions 9/27, 46/74, 1 4/5 ?
Set up an addition equation with the given fractions 9/27, 46/74, 1 4/5 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 9/27, 46/74, 1 4/5 ?
You can find the elaborate solution to find the Average of Fractions 9/27, 46/74, 1 4/5 on our page.