73/63, 3/8, 40/14 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 73/63, 3/8, 40/14

Given fractions are 73/63,3/8,40/14

The LCM of 63,8,14 (denominators of the fractions) is 504

Finding LCM of 63,8,14 by Common Division

Arrange the Inputs 63,8,14 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 63, 8, 14
7 63, 4, 7
9, 4, 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 7 x 9 x 4 x 1 = 504

Therefore, LCM of 63,8,14 is 504

Finding LCM of 63,8,14 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(63, 8) = 1

LCM(63, 8) = ( 63 x 8 ) / 1

LCM(63, 8) = 504 / 1

LCM(63, 8) = 504


Step2:

Here we consider the LCM from the above i.e. 504 as first number and the next as 14

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

GCF(504, 14) = 14

LCM(504, 14) = ( 504 x 14 ) / 14

LCM(504, 14) = 7056 / 14

LCM(504, 14) = 504

LCM of 63,8,14 is 504

The least common Multiple (LCM) is: 504.

Rewriting as equivalent fractions with the LCM:

= 584/504,189/504,1440/504

= 584+189+1440/504

Totaling the numerator:

2213/504

Dividing by the number of values: 3

The given fractions are 2213/504 and 3/1

On dividing the both fractions,2213/504 ÷ 3/1

Then the denominator of the first fraction i.e., 504 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:

2213/504 ÷ 3/1 = 2213 x 1/504 x 3

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

2213/1512

Result: 2213/1512

Average of fraction = 2213/1512

FAQs on Average of Fractions 73/63, 3/8, 40/14

1. What is the average of fractions 73/63, 3/8, 40/14 ?

Average of Fractions is 2213/1512


2. How to find the Average of Fractions 73/63, 3/8, 40/14 ?

Set up an addition equation with the given fractions 73/63, 3/8, 40/14 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 73/63, 3/8, 40/14 ?

You can find the elaborate solution to find the Average of Fractions 73/63, 3/8, 40/14 on our page.