14/40, 4/7, 50/54 Fractions Average Calculator
14/40, 4/7, 50/54 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 14/40, 4/7, 50/54
Given fractions are 14/40,4/7,50/54
The LCM of 40,7,54 (denominators of the fractions) is 7560
Arrange the Inputs 40,7,54 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, 7, 54 |
| 20, 7, 27 |
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 20 x 7 x 27 = 7560
Therefore, LCM of 40,7,54 is 7560
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, 7) = 1
LCM(40, 7) = ( 40 x 7 ) / 1
LCM(40, 7) = 280 / 1
LCM(40, 7) = 280
Step2:
Here we consider the LCM from the above i.e. 280 as first number and the next as 54
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(280, 54) = 2
LCM(280, 54) = ( 280 x 54 ) / 2
LCM(280, 54) = 15120 / 2
LCM(280, 54) = 7560
LCM of 40,7,54 is 7560
The least common Multiple (LCM) is: 7560.
Rewriting as equivalent fractions with the LCM:
= 2646/7560,4320/7560,7000/7560
= 2646+4320+7000/7560
Totaling the numerator:
13966/7560
Reducing the fraction:
6983/3780
Dividing by the number of values: 3
The given fractions are 6983/3780 and 3/1
On dividing the both fractions,6983/3780 ÷ 3/1
Then the denominator of the first fraction i.e., 3780 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:
6983/3780 ÷ 3/1 = 6983 x 1/3780 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
6983/11340
Result: 6983/11340
Average of fraction = 6983/11340
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FAQs on Average of Fractions 14/40, 4/7, 50/54
1. What is the average of fractions 14/40, 4/7, 50/54 ?
Average of Fractions is 6983/11340
2. How to find the Average of Fractions 14/40, 4/7, 50/54 ?
Set up an addition equation with the given fractions 14/40, 4/7, 50/54 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 14/40, 4/7, 50/54 ?
You can find the elaborate solution to find the Average of Fractions 14/40, 4/7, 50/54 on our page.