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11/23, 3/4, 12/18 Fractions Average Calculator

11/23, 3/4, 12/18 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 11/23, 3/4, 12/18

Given fractions are 11/23,3/4,12/18

The LCM of 23,4,18 (denominators of the fractions) is 828

Finding LCM of 23,4,18 by Common Division

Arrange the Inputs 23,4,18 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 23, 4, 18
23, 2, 9

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 23 x 2 x 9 = 828

Therefore, LCM of 23,4,18 is 828

Finding LCM of 23,4,18 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(23, 4) = 1

LCM(23, 4) = ( 23 x 4 ) / 1

LCM(23, 4) = 92 / 1

LCM(23, 4) = 92


Step2:

Here we consider the LCM from the above i.e. 92 as first number and the next as 18

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

GCF(92, 18) = 2

LCM(92, 18) = ( 92 x 18 ) / 2

LCM(92, 18) = 1656 / 2

LCM(92, 18) = 828

LCM of 23,4,18 is 828

The least common Multiple (LCM) is: 828.

Rewriting as equivalent fractions with the LCM:

= 396/828,621/828,552/828

= 396+621+552/828

Totaling the numerator:

1569/828

Reducing the fraction:

523/276

Dividing by the number of values: 3

The given fractions are 523/276 and 3/1

On dividing the both fractions,523/276 ÷ 3/1

Then the denominator of the first fraction i.e., 276 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:

523/276 ÷ 3/1 = 523 x 1/276 x 3

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

523/828

Result: 523/828

Average of fraction = 523/828

Average of Fractions Calculation Examples

FAQs on Average of Fractions 11/23, 3/4, 12/18

1. What is the average of fractions 11/23, 3/4, 12/18 ?

Average of Fractions is 523/828


2. How to find the Average of Fractions 11/23, 3/4, 12/18 ?

Set up an addition equation with the given fractions 11/23, 3/4, 12/18 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 11/23, 3/4, 12/18 ?

You can find the elaborate solution to find the Average of Fractions 11/23, 3/4, 12/18 on our page.