32/14, 37/94, 9/4, 1 5/77 Fractions Average Calculator
32/14, 37/94, 9/4, 1 5/77 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 32/14, 37/94, 9/4, 1 5/77
Given fractions are 32/14,37/94,9/4,82/77
The LCM of 14,94,4,77 (denominators of the fractions) is 14476
Arrange the Inputs 14,94,4,77 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 | 14, 94, 4, 77 |
| 7 | 7, 47, 2, 77 |
| 1, 47, 2, 11 |
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 1 x 47 x 2 x 11 = 14476
Therefore, LCM of 14,94,4,77 is 14476
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(14, 94) = 2
LCM(14, 94) = ( 14 x 94 ) / 2
LCM(14, 94) = 1316 / 2
LCM(14, 94) = 658
Step2:
Here we consider the LCM from the above i.e. 658 as first number and the next as 4
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(658, 4) = 2
LCM(658, 4) = ( 658 x 4 ) / 2
LCM(658, 4) = 2632 / 2
LCM(658, 4) = 1316
Step3:
Here we consider the LCM from the above i.e. 1316 as first number and the next as 77
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1316, 77) = 7
LCM(1316, 77) = ( 1316 x 77 ) / 7
LCM(1316, 77) = 101332 / 7
LCM(1316, 77) = 14476
LCM of 14,94,4,77 is 14476
The least common Multiple (LCM) is: 14476.
Rewriting as equivalent fractions with the LCM:
= 33088/14476,5698/14476,32571/14476,15416/14476
= 33088+5698+32571+15416/14476
Totaling the numerator:
86773/14476
Dividing by the number of values: 4
The given fractions are 86773/14476 and 4/1
On dividing the both fractions,86773/14476 ÷ 4/1
Then the denominator of the first fraction i.e., 14476 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:
86773/14476 ÷ 4/1 = 86773 x 1/14476 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
86773/57904
Result: 86773/57904
Average of fraction = 86773/57904
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FAQs on Average of Fractions 32/14, 37/94, 9/4, 1 5/77
1. What is the average of fractions 32/14, 37/94, 9/4, 1 5/77 ?
Average of Fractions is 86773/57904
2. How to find the Average of Fractions 32/14, 37/94, 9/4, 1 5/77 ?
Set up an addition equation with the given fractions 32/14, 37/94, 9/4, 1 5/77 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 32/14, 37/94, 9/4, 1 5/77 ?
You can find the elaborate solution to find the Average of Fractions 32/14, 37/94, 9/4, 1 5/77 on our page.