24/19, 75/60, 6/7, 7 4/17 Fractions Average Calculator
24/19, 75/60, 6/7, 7 4/17 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.
Finding Average of 24/19, 75/60, 6/7, 7 4/17
Given fractions are 24/19,75/60,6/7,123/17
The LCM of 19,60,7,17 (denominators of the fractions) is 135660
Arrange the Inputs 19,60,7,17 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 135660
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(19, 60) = 1
LCM(19, 60) = ( 19 x 60 ) / 1
LCM(19, 60) = 1140 / 1
LCM(19, 60) = 1140
Step2:
Here we consider the LCM from the above i.e. 1140 as first number and the next as 7
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(1140, 7) = 1
LCM(1140, 7) = ( 1140 x 7 ) / 1
LCM(1140, 7) = 7980 / 1
LCM(1140, 7) = 7980
Step3:
Here we consider the LCM from the above i.e. 7980 as first number and the next as 17
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(7980, 17) = 1
LCM(7980, 17) = ( 7980 x 17 ) / 1
LCM(7980, 17) = 135660 / 1
LCM(7980, 17) = 135660
LCM of 19,60,7,17 is 135660
The least common Multiple (LCM) is: 135660.
Rewriting as equivalent fractions with the LCM:
= 171360/135660,169575/135660,116280/135660,981540/135660
= 171360+169575+116280+981540/135660
Totaling the numerator:
1438755/135660
Reducing the fraction:
95917/9044
Dividing by the number of values: 4
The given fractions are 95917/9044 and 4/1
On dividing the both fractions,95917/9044 ÷ 4/1
Then the denominator of the first fraction i.e., 9044 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:
95917/9044 ÷ 4/1 = 95917 x 1/9044 x 4
On Multiplying the denominators and the numerators,the fraction value we get,
95917/36176
Result: 95917/36176
Average of fraction = 95917/36176
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FAQs on Average of Fractions 24/19, 75/60, 6/7, 7 4/17
1. What is the average of fractions 24/19, 75/60, 6/7, 7 4/17 ?
Average of Fractions is 95917/36176
2. How to find the Average of Fractions 24/19, 75/60, 6/7, 7 4/17 ?
Set up an addition equation with the given fractions 24/19, 75/60, 6/7, 7 4/17 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 24/19, 75/60, 6/7, 7 4/17 ?
You can find the elaborate solution to find the Average of Fractions 24/19, 75/60, 6/7, 7 4/17 on our page.