52/32, 68/28, 4/6, 1 8/93 Fractions Average Calculator
52/32, 68/28, 4/6, 1 8/93 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 52/32, 68/28, 4/6, 1 8/93
Given fractions are 52/32,68/28,4/6,101/93
The LCM of 32,28,6,93 (denominators of the fractions) is 20832
Arrange the Inputs 32,28,6,93 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, 28, 6, 93 |
2 | 16, 14, 3, 93 |
3 | 8, 7, 3, 93 |
8, 7, 1, 31 |
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 3 x 8 x 7 x 1 x 31 = 20832
Therefore, LCM of 32,28,6,93 is 20832
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, 28) = 4
LCM(32, 28) = ( 32 x 28 ) / 4
LCM(32, 28) = 896 / 4
LCM(32, 28) = 224
Step2:
Here we consider the LCM from the above i.e. 224 as first number and the next as 6
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(224, 6) = 2
LCM(224, 6) = ( 224 x 6 ) / 2
LCM(224, 6) = 1344 / 2
LCM(224, 6) = 672
Step3:
Here we consider the LCM from the above i.e. 672 as first number and the next as 93
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(672, 93) = 3
LCM(672, 93) = ( 672 x 93 ) / 3
LCM(672, 93) = 62496 / 3
LCM(672, 93) = 20832
LCM of 32,28,6,93 is 20832
The least common Multiple (LCM) is: 20832.
Rewriting as equivalent fractions with the LCM:
= 33852/20832,50592/20832,13888/20832,22624/20832
= 33852+50592+13888+22624/20832
Totaling the numerator:
120956/20832
Reducing the fraction:
30239/5208
Dividing by the number of values: 4
The given fractions are 30239/5208 and 4/1
On dividing the both fractions,30239/5208 ÷ 4/1
Then the denominator of the first fraction i.e., 5208 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:
30239/5208 ÷ 4/1 = 30239 x 1/5208 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
30239/20832
Result: 30239/20832
Average of fraction = 30239/20832
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FAQs on Average of Fractions 52/32, 68/28, 4/6, 1 8/93
1. What is the average of fractions 52/32, 68/28, 4/6, 1 8/93 ?
Average of Fractions is 30239/20832
2. How to find the Average of Fractions 52/32, 68/28, 4/6, 1 8/93 ?
Set up an addition equation with the given fractions 52/32, 68/28, 4/6, 1 8/93 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 52/32, 68/28, 4/6, 1 8/93 ?
You can find the elaborate solution to find the Average of Fractions 52/32, 68/28, 4/6, 1 8/93 on our page.