96/18, 7/9, 70/72 Fractions Average Calculator
96/18, 7/9, 70/72 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 96/18, 7/9, 70/72
Given fractions are 96/18,7/9,70/72
The LCM of 18,9,72 (denominators of the fractions) is 72
Arrange the Inputs 18,9,72 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 | 18, 9, 72 |
3 | 9, 9, 36 |
3 | 3, 3, 12 |
1, 1, 4 |
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 3 x 1 x 1 x 4 = 72
Therefore, LCM of 18,9,72 is 72
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(18, 9) = 9
LCM(18, 9) = ( 18 x 9 ) / 9
LCM(18, 9) = 162 / 9
LCM(18, 9) = 18
Step2:
Here we consider the LCM from the above i.e. 18 as first number and the next as 72
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(18, 72) = 18
LCM(18, 72) = ( 18 x 72 ) / 18
LCM(18, 72) = 1296 / 18
LCM(18, 72) = 72
LCM of 18,9,72 is 72
The least common Multiple (LCM) is: 72.
Rewriting as equivalent fractions with the LCM:
= 384/72,56/72,70/72
= 384+56+70/72
Totaling the numerator:
510/72
Reducing the fraction:
85/12
Dividing by the number of values: 3
The given fractions are 85/12 and 3/1
On dividing the both fractions,85/12 ÷ 3/1
Then the denominator of the first fraction i.e., 12 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:
85/12 ÷ 3/1 = 85 x 1/12 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
85/36
Result: 85/36
Average of fraction = 85/36
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 43/49 ,9/4 ,53/35
- Average of Fractions 99/84 ,7/9 ,15/66
- Average of Fractions 58/30 ,7/6 ,22/58
- Average of Fractions 62/74 ,3/9 ,92/43
- Average of Fractions 68/78 ,7/2 ,16/45
- Average of Fractions 99/29 ,5/5 ,15/42
- Average of Fractions 64/12 ,2/1 ,84/78
- Average of Fractions 28/91 ,8/6 ,11/56
- Average of Fractions 89/86 ,9/4 ,62/74
- Average of Fractions 32/21 ,4/3 ,19/43
FAQs on Average of Fractions 96/18, 7/9, 70/72
1. What is the average of fractions 96/18, 7/9, 70/72 ?
Average of Fractions is 85/36
2. How to find the Average of Fractions 96/18, 7/9, 70/72 ?
Set up an addition equation with the given fractions 96/18, 7/9, 70/72 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 96/18, 7/9, 70/72 ?
You can find the elaborate solution to find the Average of Fractions 96/18, 7/9, 70/72 on our page.