92/70, 69/42, 7/9, 8 6/58 Fractions Average Calculator
92/70, 69/42, 7/9, 8 6/58 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 92/70, 69/42, 7/9, 8 6/58
Given fractions are 92/70,69/42,7/9,235/29
The LCM of 70,42,9,29 (denominators of the fractions) is 18270
Arrange the Inputs 70,42,9,29 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 | 70, 42, 9, 29 |
| 3 | 35, 21, 9, 29 |
| 7 | 35, 7, 3, 29 |
| 5, 1, 3, 29 |
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 7 x 5 x 1 x 3 x 29 = 18270
Therefore, LCM of 70,42,9,29 is 18270
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(70, 42) = 14
LCM(70, 42) = ( 70 x 42 ) / 14
LCM(70, 42) = 2940 / 14
LCM(70, 42) = 210
Step2:
Here we consider the LCM from the above i.e. 210 as first number and the next as 9
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(210, 9) = 3
LCM(210, 9) = ( 210 x 9 ) / 3
LCM(210, 9) = 1890 / 3
LCM(210, 9) = 630
Step3:
Here we consider the LCM from the above i.e. 630 as first number and the next as 29
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(630, 29) = 1
LCM(630, 29) = ( 630 x 29 ) / 1
LCM(630, 29) = 18270 / 1
LCM(630, 29) = 18270
LCM of 70,42,9,29 is 18270
The least common Multiple (LCM) is: 18270.
Rewriting as equivalent fractions with the LCM:
= 24012/18270,30015/18270,14210/18270,148050/18270
= 24012+30015+14210+148050/18270
Totaling the numerator:
216287/18270
Dividing by the number of values: 4
The given fractions are 216287/18270 and 4/1
On dividing the both fractions,216287/18270 ÷ 4/1
Then the denominator of the first fraction i.e., 18270 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:
216287/18270 ÷ 4/1 = 216287 x 1/18270 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
216287/73080
Result: 216287/73080
Average of fraction = 216287/73080
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FAQs on Average of Fractions 92/70, 69/42, 7/9, 8 6/58
1. What is the average of fractions 92/70, 69/42, 7/9, 8 6/58 ?
Average of Fractions is 216287/73080
2. How to find the Average of Fractions 92/70, 69/42, 7/9, 8 6/58 ?
Set up an addition equation with the given fractions 92/70, 69/42, 7/9, 8 6/58 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 92/70, 69/42, 7/9, 8 6/58 ?
You can find the elaborate solution to find the Average of Fractions 92/70, 69/42, 7/9, 8 6/58 on our page.