12/90, 8/7, 77/65 Fractions Average Calculator
12/90, 8/7, 77/65 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 12/90, 8/7, 77/65
Given fractions are 12/90,8/7,77/65
The LCM of 90,7,65 (denominators of the fractions) is 8190
Arrange the Inputs 90,7,65 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.
| 5 | 90, 7, 65 |
| 18, 7, 13 |
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. 5 x 18 x 7 x 13 = 8190
Therefore, LCM of 90,7,65 is 8190
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(90, 7) = 1
LCM(90, 7) = ( 90 x 7 ) / 1
LCM(90, 7) = 630 / 1
LCM(90, 7) = 630
Step2:
Here we consider the LCM from the above i.e. 630 as first number and the next as 65
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(630, 65) = 5
LCM(630, 65) = ( 630 x 65 ) / 5
LCM(630, 65) = 40950 / 5
LCM(630, 65) = 8190
LCM of 90,7,65 is 8190
The least common Multiple (LCM) is: 8190.
Rewriting as equivalent fractions with the LCM:
= 1092/8190,9360/8190,9702/8190
= 1092+9360+9702/8190
Totaling the numerator:
20154/8190
Reducing the fraction:
3359/1365
Dividing by the number of values: 3
The given fractions are 3359/1365 and 3/1
On dividing the both fractions,3359/1365 ÷ 3/1
Then the denominator of the first fraction i.e., 1365 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:
3359/1365 ÷ 3/1 = 3359 x 1/1365 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
3359/4095
Result: 3359/4095
Average of fraction = 3359/4095
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 39/93 ,1/1 ,37/50
- Average of Fractions 36/14 ,2/7 ,14/73
- Average of Fractions 62/42 ,8/7 ,24/32
- Average of Fractions 24/76 ,7/7 ,80/15
- Average of Fractions 90/41 ,9/5 ,81/70
- Average of Fractions 55/53 ,5/7 ,49/32
- Average of Fractions 99/38 ,8/9 ,97/86
- Average of Fractions 58/30 ,4/6 ,92/28
- Average of Fractions 14/40 ,4/7 ,50/54
- Average of Fractions 55/76 ,4/2 ,90/43
FAQs on Average of Fractions 12/90, 8/7, 77/65
1. What is the average of fractions 12/90, 8/7, 77/65 ?
Average of Fractions is 3359/4095
2. How to find the Average of Fractions 12/90, 8/7, 77/65 ?
Set up an addition equation with the given fractions 12/90, 8/7, 77/65 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 12/90, 8/7, 77/65 ?
You can find the elaborate solution to find the Average of Fractions 12/90, 8/7, 77/65 on our page.