94/78, 11/70, 3 5/4 Fractions Average Calculator
94/78, 11/70, 3 5/4 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 94/78, 11/70, 3 5/4
Given fractions are 94/78,11/70,17/4
The LCM of 78,70,4 (denominators of the fractions) is 5460
Arrange the Inputs 78,70,4 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 | 78, 70, 4 |
| 39, 35, 2 |
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 39 x 35 x 2 = 5460
Therefore, LCM of 78,70,4 is 5460
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(78, 70) = 2
LCM(78, 70) = ( 78 x 70 ) / 2
LCM(78, 70) = 5460 / 2
LCM(78, 70) = 2730
Step2:
Here we consider the LCM from the above i.e. 2730 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2730, 4) = 2
LCM(2730, 4) = ( 2730 x 4 ) / 2
LCM(2730, 4) = 10920 / 2
LCM(2730, 4) = 5460
LCM of 78,70,4 is 5460
The least common Multiple (LCM) is: 5460.
Rewriting as equivalent fractions with the LCM:
= 6580/5460,858/5460,23205/5460
= 6580+858+23205/5460
Totaling the numerator:
30643/5460
Dividing by the number of values: 3
The given fractions are 30643/5460 and 3/1
On dividing the both fractions,30643/5460 ÷ 3/1
Then the denominator of the first fraction i.e., 5460 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:
30643/5460 ÷ 3/1 = 30643 x 1/5460 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
30643/16380
Result: 30643/16380
Average of fraction = 30643/16380
Average of Fractions Calculation Examples
Here are some samples of Average of Fractions calculations.
- Average of Fractions 40/64 ,68/37,2 3/2
- Average of Fractions 35/21 ,39/46,4 8/2
- Average of Fractions 18/58 ,75/52,5 1/7
- Average of Fractions 17/42 ,55/27,3 2/3
- Average of Fractions 37/83 ,90/96,3 5/6
- Average of Fractions 49/81 ,42/12,9 9/3
- Average of Fractions 17/87 ,79/47,9 1/8
- Average of Fractions 83/89 ,28/66,7 5/6
- Average of Fractions 92/41 ,41/35,5 7/7
- Average of Fractions 56/90 ,14/13,6 4/3
FAQs on Average of Fractions 94/78, 11/70, 3 5/4
1. What is the average of fractions 94/78, 11/70, 3 5/4 ?
Average of Fractions is 30643/16380
2. How to find the Average of Fractions 94/78, 11/70, 3 5/4 ?
Set up an addition equation with the given fractions 94/78, 11/70, 3 5/4 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 94/78, 11/70, 3 5/4 ?
You can find the elaborate solution to find the Average of Fractions 94/78, 11/70, 3 5/4 on our page.