75/68, 2/4, 58/80 Fractions Average Calculator
75/68, 2/4, 58/80 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 75/68, 2/4, 58/80
Given fractions are 75/68,2/4,58/80
The LCM of 68,4,80 (denominators of the fractions) is 1360
Arrange the Inputs 68,4,80 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 | 68, 4, 80 |
| 2 | 34, 2, 40 |
| 17, 1, 20 |
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 2 x 17 x 1 x 20 = 1360
Therefore, LCM of 68,4,80 is 1360
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(68, 4) = 4
LCM(68, 4) = ( 68 x 4 ) / 4
LCM(68, 4) = 272 / 4
LCM(68, 4) = 68
Step2:
Here we consider the LCM from the above i.e. 68 as first number and the next as 80
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(68, 80) = 4
LCM(68, 80) = ( 68 x 80 ) / 4
LCM(68, 80) = 5440 / 4
LCM(68, 80) = 1360
LCM of 68,4,80 is 1360
The least common Multiple (LCM) is: 1360.
Rewriting as equivalent fractions with the LCM:
= 1500/1360,680/1360,986/1360
= 1500+680+986/1360
Totaling the numerator:
3166/1360
Reducing the fraction:
1583/680
Dividing by the number of values: 3
The given fractions are 1583/680 and 3/1
On dividing the both fractions,1583/680 ÷ 3/1
Then the denominator of the first fraction i.e., 680 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:
1583/680 ÷ 3/1 = 1583 x 1/680 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1583/2040
Result: 1583/2040
Average of fraction = 1583/2040
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FAQs on Average of Fractions 75/68, 2/4, 58/80
1. What is the average of fractions 75/68, 2/4, 58/80 ?
Average of Fractions is 1583/2040
2. How to find the Average of Fractions 75/68, 2/4, 58/80 ?
Set up an addition equation with the given fractions 75/68, 2/4, 58/80 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 75/68, 2/4, 58/80 ?
You can find the elaborate solution to find the Average of Fractions 75/68, 2/4, 58/80 on our page.