48/24, 5/9, 89/16 Fractions Average Calculator
48/24, 5/9, 89/16 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 48/24, 5/9, 89/16
Given fractions are 48/24,5/9,89/16
The LCM of 24,9,16 (denominators of the fractions) is 144
Arrange the Inputs 24,9,16 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 | 24, 9, 16 |
| 2 | 12, 9, 8 |
| 2 | 6, 9, 4 |
| 3 | 3, 9, 2 |
| 1, 3, 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 2 x 2 x 3 x 1 x 3 x 2 = 144
Therefore, LCM of 24,9,16 is 144
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(24, 9) = 3
LCM(24, 9) = ( 24 x 9 ) / 3
LCM(24, 9) = 216 / 3
LCM(24, 9) = 72
Step2:
Here we consider the LCM from the above i.e. 72 as first number and the next as 16
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(72, 16) = 8
LCM(72, 16) = ( 72 x 16 ) / 8
LCM(72, 16) = 1152 / 8
LCM(72, 16) = 144
LCM of 24,9,16 is 144
The least common Multiple (LCM) is: 144.
Rewriting as equivalent fractions with the LCM:
= 288/144,80/144,801/144
= 288+80+801/144
Totaling the numerator:
1169/144
Dividing by the number of values: 3
The given fractions are 1169/144 and 3/1
On dividing the both fractions,1169/144 ÷ 3/1
Then the denominator of the first fraction i.e., 144 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:
1169/144 ÷ 3/1 = 1169 x 1/144 x 3
On Multiplying the denominators and the numerators,the fraction value we get,
1169/432
Result: 1169/432
Average of fraction = 1169/432
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FAQs on Average of Fractions 48/24, 5/9, 89/16
1. What is the average of fractions 48/24, 5/9, 89/16 ?
Average of Fractions is 1169/432
2. How to find the Average of Fractions 48/24, 5/9, 89/16 ?
Set up an addition equation with the given fractions 48/24, 5/9, 89/16 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 48/24, 5/9, 89/16 ?
You can find the elaborate solution to find the Average of Fractions 48/24, 5/9, 89/16 on our page.