98/80, 55/18, 5/6, 8 7/23 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.

Average of Fractions:

Finding Average of 98/80, 55/18, 5/6, 8 7/23

Given fractions are 98/80,55/18,5/6,191/23

The LCM of 80,18,6,23 (denominators of the fractions) is 16560

Finding LCM of 80,18,6,23 by Common Division

Arrange the Inputs 80,18,6,23 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 80, 18, 6, 23
3 40, 9, 3, 23
40, 1, 3, 23

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 40 x 1 x 3 x 23 = 16560

Therefore, LCM of 80,18,6,23 is 16560

Finding LCM of 80,18,6,23 using GCF Formula

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(80, 18) = 2

LCM(80, 18) = ( 80 x 18 ) / 2

LCM(80, 18) = 1440 / 2

LCM(80, 18) = 720


Step2:

Here we consider the LCM from the above i.e. 720 as first number and the next as 6

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(720, 6) = 6

LCM(720, 6) = ( 720 x 6 ) / 6

LCM(720, 6) = 4320 / 6

LCM(720, 6) = 720


Step3:

Here we consider the LCM from the above i.e. 720 as first number and the next as 23

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(720, 23) = 1

LCM(720, 23) = ( 720 x 23 ) / 1

LCM(720, 23) = 16560 / 1

LCM(720, 23) = 16560

LCM of 80,18,6,23 is 16560

The least common Multiple (LCM) is: 16560.

Rewriting as equivalent fractions with the LCM:

= 20286/16560,50600/16560,13800/16560,137520/16560

= 20286+50600+13800+137520/16560

Totaling the numerator:

222206/16560

Reducing the fraction:

111103/8280

Dividing by the number of values: 4

The given fractions are 111103/8280 and 4/1

On dividing the both fractions,111103/8280 ÷ 4/1

Then the denominator of the first fraction i.e., 8280 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:

111103/8280 ÷ 4/1 = 111103 x 1/8280 x 4

On Multiplying the denominators and the numerators,the fraction value we get,

111103/33120

Result: 111103/33120

Average of fraction = 111103/33120

FAQs on Average of Fractions 98/80, 55/18, 5/6, 8 7/23

1. What is the average of fractions 98/80, 55/18, 5/6, 8 7/23 ?

Average of Fractions is 111103/33120


2. How to find the Average of Fractions 98/80, 55/18, 5/6, 8 7/23 ?

Set up an addition equation with the given fractions 98/80, 55/18, 5/6, 8 7/23 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 98/80, 55/18, 5/6, 8 7/23 ?

You can find the elaborate solution to find the Average of Fractions 98/80, 55/18, 5/6, 8 7/23 on our page.