42/32, 36/43, 3/8, 6 2/88 Fractions Average Calculator
42/32, 36/43, 3/8, 6 2/88 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 42/32, 36/43, 3/8, 6 2/88
Given fractions are 42/32,36/43,3/8,265/44
The LCM of 32,43,8,44 (denominators of the fractions) is 15136
Arrange the Inputs 32,43,8,44 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 | 32, 43, 8, 44 |
| 2 | 16, 43, 4, 22 |
| 2 | 8, 43, 2, 11 |
| 4, 43, 1, 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 2 x 2 x 4 x 43 x 1 x 11 = 15136
Therefore, LCM of 32,43,8,44 is 15136
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(32, 43) = 1
LCM(32, 43) = ( 32 x 43 ) / 1
LCM(32, 43) = 1376 / 1
LCM(32, 43) = 1376
Step2:
Here we consider the LCM from the above i.e. 1376 as first number and the next as 8
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1376, 8) = 8
LCM(1376, 8) = ( 1376 x 8 ) / 8
LCM(1376, 8) = 11008 / 8
LCM(1376, 8) = 1376
Step3:
Here we consider the LCM from the above i.e. 1376 as first number and the next as 44
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1376, 44) = 4
LCM(1376, 44) = ( 1376 x 44 ) / 4
LCM(1376, 44) = 60544 / 4
LCM(1376, 44) = 15136
LCM of 32,43,8,44 is 15136
The least common Multiple (LCM) is: 15136.
Rewriting as equivalent fractions with the LCM:
= 19866/15136,12672/15136,5676/15136,91160/15136
= 19866+12672+5676+91160/15136
Totaling the numerator:
129374/15136
Reducing the fraction:
64687/7568
Dividing by the number of values: 4
The given fractions are 64687/7568 and 4/1
On dividing the both fractions,64687/7568 ÷ 4/1
Then the denominator of the first fraction i.e., 7568 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:
64687/7568 ÷ 4/1 = 64687 x 1/7568 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
64687/30272
Result: 64687/30272
Average of fraction = 64687/30272
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FAQs on Average of Fractions 42/32, 36/43, 3/8, 6 2/88
1. What is the average of fractions 42/32, 36/43, 3/8, 6 2/88 ?
Average of Fractions is 64687/30272
2. How to find the Average of Fractions 42/32, 36/43, 3/8, 6 2/88 ?
Set up an addition equation with the given fractions 42/32, 36/43, 3/8, 6 2/88 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 42/32, 36/43, 3/8, 6 2/88 ?
You can find the elaborate solution to find the Average of Fractions 42/32, 36/43, 3/8, 6 2/88 on our page.