58/30, 4/6, 92/28 Fractions Average Calculator
58/30, 4/6, 92/28 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 58/30, 4/6, 92/28
Given fractions are 58/30,4/6,92/28
The LCM of 30,6,28 (denominators of the fractions) is 420
Arrange the Inputs 30,6,28 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 | 30, 6, 28 |
| 3 | 15, 3, 14 |
| 5, 1, 14 |
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 3 x 5 x 1 x 14 = 420
Therefore, LCM of 30,6,28 is 420
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(30, 6) = 6
LCM(30, 6) = ( 30 x 6 ) / 6
LCM(30, 6) = 180 / 6
LCM(30, 6) = 30
Step2:
Here we consider the LCM from the above i.e. 30 as first number and the next as 28
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(30, 28) = 2
LCM(30, 28) = ( 30 x 28 ) / 2
LCM(30, 28) = 840 / 2
LCM(30, 28) = 420
LCM of 30,6,28 is 420
The least common Multiple (LCM) is: 420.
Rewriting as equivalent fractions with the LCM:
= 812/420,280/420,1380/420
= 812+280+1380/420
Totaling the numerator:
2472/420
Reducing the fraction:
206/35
Dividing by the number of values: 3
The given fractions are 206/35 and 3/1
On dividing the both fractions,206/35 ÷ 3/1
Then the denominator of the first fraction i.e., 35 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:
206/35 ÷ 3/1 = 206 x 1/35 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
206/105
Result: 206/105
Average of fraction = 206/105
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FAQs on Average of Fractions 58/30, 4/6, 92/28
1. What is the average of fractions 58/30, 4/6, 92/28 ?
Average of Fractions is 206/105
2. How to find the Average of Fractions 58/30, 4/6, 92/28 ?
Set up an addition equation with the given fractions 58/30, 4/6, 92/28 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 58/30, 4/6, 92/28 ?
You can find the elaborate solution to find the Average of Fractions 58/30, 4/6, 92/28 on our page.