55/28, 4/5, 59/25 Fractions Average Calculator
55/28, 4/5, 59/25 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 55/28, 4/5, 59/25
Given fractions are 55/28,4/5,59/25
The LCM of 28,5,25 (denominators of the fractions) is 700
Arrange the Inputs 28,5,25 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.
| 5 | 28, 5, 25 |
| 28, 1, 5 |
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. 5 x 28 x 1 x 5 = 700
Therefore, LCM of 28,5,25 is 700
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(28, 5) = 1
LCM(28, 5) = ( 28 x 5 ) / 1
LCM(28, 5) = 140 / 1
LCM(28, 5) = 140
Step2:
Here we consider the LCM from the above i.e. 140 as first number and the next as 25
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(140, 25) = 5
LCM(140, 25) = ( 140 x 25 ) / 5
LCM(140, 25) = 3500 / 5
LCM(140, 25) = 700
LCM of 28,5,25 is 700
The least common Multiple (LCM) is: 700.
Rewriting as equivalent fractions with the LCM:
= 1375/700,560/700,1652/700
= 1375+560+1652/700
Totaling the numerator:
3587/700
Dividing by the number of values: 3
The given fractions are 3587/700 and 3/1
On dividing the both fractions,3587/700 ÷ 3/1
Then the denominator of the first fraction i.e., 700 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:
3587/700 ÷ 3/1 = 3587 x 1/700 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
3587/2100
Result: 3587/2100
Average of fraction = 3587/2100
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FAQs on Average of Fractions 55/28, 4/5, 59/25
1. What is the average of fractions 55/28, 4/5, 59/25 ?
Average of Fractions is 3587/2100
2. How to find the Average of Fractions 55/28, 4/5, 59/25 ?
Set up an addition equation with the given fractions 55/28, 4/5, 59/25 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 55/28, 4/5, 59/25 ?
You can find the elaborate solution to find the Average of Fractions 55/28, 4/5, 59/25 on our page.