40/47, 3/3, 53/16 Fractions Average Calculator
40/47, 3/3, 53/16 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 40/47, 3/3, 53/16
Given fractions are 40/47,3/3,53/16
The LCM of 47,3,16 (denominators of the fractions) is 2256
Arrange the Inputs 47,3,16 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 2256
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(47, 3) = 1
LCM(47, 3) = ( 47 x 3 ) / 1
LCM(47, 3) = 141 / 1
LCM(47, 3) = 141
Step2:
Here we consider the LCM from the above i.e. 141 as first number and the next as 16
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(141, 16) = 1
LCM(141, 16) = ( 141 x 16 ) / 1
LCM(141, 16) = 2256 / 1
LCM(141, 16) = 2256
LCM of 47,3,16 is 2256
The least common Multiple (LCM) is: 2256.
Rewriting as equivalent fractions with the LCM:
= 1920/2256,2256/2256,7473/2256
= 1920+2256+7473/2256
Totaling the numerator:
11649/2256
Reducing the fraction:
3883/752
Dividing by the number of values: 3
The given fractions are 3883/752 and 3/1
On dividing the both fractions,3883/752 ÷ 3/1
Then the denominator of the first fraction i.e., 752 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:
3883/752 ÷ 3/1 = 3883 x 1/752 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
3883/2256
Result: 3883/2256
Average of fraction = 3883/2256
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FAQs on Average of Fractions 40/47, 3/3, 53/16
1. What is the average of fractions 40/47, 3/3, 53/16 ?
Average of Fractions is 3883/2256
2. How to find the Average of Fractions 40/47, 3/3, 53/16 ?
Set up an addition equation with the given fractions 40/47, 3/3, 53/16 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 40/47, 3/3, 53/16 ?
You can find the elaborate solution to find the Average of Fractions 40/47, 3/3, 53/16 on our page.