3 3/95, 5/16, 69/51 Fractions Average Calculator
3 3/95, 5/16, 69/51 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 3 3/95, 5/16, 69/51
Given fractions are 288/95,5/16,69/51
The LCM of 95,16,51 (denominators of the fractions) is 77520
Arrange the Inputs 95,16,51 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.
Given numbers has no common factors except 1. So, there LCM is their product i.e 77520
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(95, 16) = 1
LCM(95, 16) = ( 95 x 16 ) / 1
LCM(95, 16) = 1520 / 1
LCM(95, 16) = 1520
Step2:
Here we consider the LCM from the above i.e. 1520 as first number and the next as 51
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1520, 51) = 1
LCM(1520, 51) = ( 1520 x 51 ) / 1
LCM(1520, 51) = 77520 / 1
LCM(1520, 51) = 77520
LCM of 95,16,51 is 77520
The least common Multiple (LCM) is: 77520.
Rewriting as equivalent fractions with the LCM:
= 235008/77520,24225/77520,104880/77520
= 235008+24225+104880/77520
Totaling the numerator:
364113/77520
Reducing the fraction:
121371/25840
Dividing by the number of values: 3
The given fractions are 121371/25840 and 3/1
On dividing the both fractions,121371/25840 ÷ 3/1
Then the denominator of the first fraction i.e., 25840 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:
121371/25840 ÷ 3/1 = 121371 x 1/25840 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
121371/77520
Result: 40457/25840
Average of fraction = 40457/25840
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FAQs on Average of Fractions 3 3/95, 5/16, 69/51
1. What is the average of fractions 3 3/95, 5/16, 69/51 ?
Average of Fractions is 40457/25840
2. How to find the Average of Fractions 3 3/95, 5/16, 69/51 ?
Set up an addition equation with the given fractions 3 3/95, 5/16, 69/51 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 3 3/95, 5/16, 69/51 ?
You can find the elaborate solution to find the Average of Fractions 3 3/95, 5/16, 69/51 on our page.