22/19, 20/12, 7 5/4 Fractions Average Calculator
22/19, 20/12, 7 5/4 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 22/19, 20/12, 7 5/4
Given fractions are 22/19,20/12,33/4
The LCM of 19,12,4 (denominators of the fractions) is 228
Arrange the Inputs 19,12,4 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 | 19, 12, 4 |
2 | 19, 6, 2 |
19, 3, 1 |
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 19 x 3 x 1 = 228
Therefore, LCM of 19,12,4 is 228
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(19, 12) = 1
LCM(19, 12) = ( 19 x 12 ) / 1
LCM(19, 12) = 228 / 1
LCM(19, 12) = 228
Step2:
Here we consider the LCM from the above i.e. 228 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(228, 4) = 4
LCM(228, 4) = ( 228 x 4 ) / 4
LCM(228, 4) = 912 / 4
LCM(228, 4) = 228
LCM of 19,12,4 is 228
The least common Multiple (LCM) is: 228.
Rewriting as equivalent fractions with the LCM:
= 264/228,380/228,1881/228
= 264+380+1881/228
Totaling the numerator:
2525/228
Dividing by the number of values: 3
The given fractions are 2525/228 and 3/1
On dividing the both fractions,2525/228 ÷ 3/1
Then the denominator of the first fraction i.e., 228 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:
2525/228 ÷ 3/1 = 2525 x 1/228 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
2525/684
Result: 2525/684
Average of fraction = 2525/684
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 83/34 ,83/67,5 6/1
- Average of Fractions 47/92 ,85/94,2 1/9
- Average of Fractions 24/79 ,97/93,8 8/9
- Average of Fractions 51/21 ,58/24,1 1/1
- Average of Fractions 32/19 ,38/61,1 1/7
- Average of Fractions 46/82 ,54/14,2 9/4
- Average of Fractions 82/94 ,70/79,1 1/6
- Average of Fractions 54/26 ,79/90,7 9/8
- Average of Fractions 14/61 ,87/33,8 8/1
- Average of Fractions 98/22 ,43/73,2 9/8
FAQs on Average of Fractions 22/19, 20/12, 7 5/4
1. What is the average of fractions 22/19, 20/12, 7 5/4 ?
Average of Fractions is 2525/684
2. How to find the Average of Fractions 22/19, 20/12, 7 5/4 ?
Set up an addition equation with the given fractions 22/19, 20/12, 7 5/4 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 22/19, 20/12, 7 5/4 ?
You can find the elaborate solution to find the Average of Fractions 22/19, 20/12, 7 5/4 on our page.