74/30, 1/1, 61/58 Fractions Average Calculator
74/30, 1/1, 61/58 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 74/30, 1/1, 61/58
Given fractions are 74/30,1/1,61/58
The LCM of 30,1,58 (denominators of the fractions) is 870
Arrange the Inputs 30,1,58 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, 1, 58 |
| 15, 1, 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 15 x 1 x 29 = 870
Therefore, LCM of 30,1,58 is 870
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, 1) = 1
LCM(30, 1) = ( 30 x 1 ) / 1
LCM(30, 1) = 30 / 1
LCM(30, 1) = 30
Step2:
Here we consider the LCM from the above i.e. 30 as first number and the next as 58
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(30, 58) = 2
LCM(30, 58) = ( 30 x 58 ) / 2
LCM(30, 58) = 1740 / 2
LCM(30, 58) = 870
LCM of 30,1,58 is 870
The least common Multiple (LCM) is: 870.
Rewriting as equivalent fractions with the LCM:
= 2146/870,870/870,915/870
= 2146+870+915/870
Totaling the numerator:
3931/870
Dividing by the number of values: 3
The given fractions are 3931/870 and 3/1
On dividing the both fractions,3931/870 ÷ 3/1
Then the denominator of the first fraction i.e., 870 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:
3931/870 ÷ 3/1 = 3931 x 1/870 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
3931/2610
Result: 3931/2610
Average of fraction = 3931/2610
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FAQs on Average of Fractions 74/30, 1/1, 61/58
1. What is the average of fractions 74/30, 1/1, 61/58 ?
Average of Fractions is 3931/2610
2. How to find the Average of Fractions 74/30, 1/1, 61/58 ?
Set up an addition equation with the given fractions 74/30, 1/1, 61/58 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 74/30, 1/1, 61/58 ?
You can find the elaborate solution to find the Average of Fractions 74/30, 1/1, 61/58 on our page.