74/96, 2/5, 42/36 Fractions Average Calculator
74/96, 2/5, 42/36 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 74/96, 2/5, 42/36
Given fractions are 74/96,2/5,42/36
The LCM of 96,5,36 (denominators of the fractions) is 1440
Arrange the Inputs 96,5,36 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 | 96, 5, 36 |
| 2 | 48, 5, 18 |
| 3 | 24, 5, 9 |
| 8, 5, 3 |
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 3 x 8 x 5 x 3 = 1440
Therefore, LCM of 96,5,36 is 1440
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(96, 5) = 1
LCM(96, 5) = ( 96 x 5 ) / 1
LCM(96, 5) = 480 / 1
LCM(96, 5) = 480
Step2:
Here we consider the LCM from the above i.e. 480 as first number and the next as 36
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(480, 36) = 12
LCM(480, 36) = ( 480 x 36 ) / 12
LCM(480, 36) = 17280 / 12
LCM(480, 36) = 1440
LCM of 96,5,36 is 1440
The least common Multiple (LCM) is: 1440.
Rewriting as equivalent fractions with the LCM:
= 1110/1440,576/1440,1680/1440
= 1110+576+1680/1440
Totaling the numerator:
3366/1440
Reducing the fraction:
187/80
Dividing by the number of values: 3
The given fractions are 187/80 and 3/1
On dividing the both fractions,187/80 ÷ 3/1
Then the denominator of the first fraction i.e., 80 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:
187/80 ÷ 3/1 = 187 x 1/80 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
187/240
Result: 187/240
Average of fraction = 187/240
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 85/59 ,3/4 ,42/74
- Average of Fractions 71/43 ,5/5 ,95/54
- Average of Fractions 80/70 ,5/7 ,83/80
- Average of Fractions 95/85 ,1/9 ,52/91
- Average of Fractions 73/21 ,6/3 ,70/79
- Average of Fractions 23/38 ,2/3 ,36/38
- Average of Fractions 76/60 ,8/3 ,87/19
- Average of Fractions 51/81 ,7/2 ,51/90
- Average of Fractions 90/26 ,5/3 ,39/80
- Average of Fractions 68/36 ,6/2 ,80/54
FAQs on Average of Fractions 74/96, 2/5, 42/36
1. What is the average of fractions 74/96, 2/5, 42/36 ?
Average of Fractions is 187/240
2. How to find the Average of Fractions 74/96, 2/5, 42/36 ?
Set up an addition equation with the given fractions 74/96, 2/5, 42/36 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 74/96, 2/5, 42/36 ?
You can find the elaborate solution to find the Average of Fractions 74/96, 2/5, 42/36 on our page.