1/77, 51/87, 7 1/89 Fractions Average Calculator

1/77, 51/87, 7 1/89 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.

Average of Fractions:

Finding Average of 1/77, 51/87, 7 1/89

Given fractions are 1/77,51/87,624/89

The LCM of 77,87,89 (denominators of the fractions) is 596211

Finding LCM of 77,87,89 by Common Division

Arrange the Inputs 77,87,89 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 596211

Finding LCM of 77,87,89 using GCF Formula

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(77, 87) = 1

LCM(77, 87) = ( 77 x 87 ) / 1

LCM(77, 87) = 6699 / 1

LCM(77, 87) = 6699

Step2:

Here we consider the LCM from the above i.e. 6699 as first number and the next as 89

The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)

GCF(6699, 89) = 1

LCM(6699, 89) = ( 6699 x 89 ) / 1

LCM(6699, 89) = 596211 / 1

LCM(6699, 89) = 596211

LCM of 77,87,89 is 596211

The least common Multiple (LCM) is: 596211.

Rewriting as equivalent fractions with the LCM:

= 7743/596211,349503/596211,4180176/596211

= 7743+349503+4180176/596211

Totaling the numerator:

4537422/596211

Reducing the fraction:

1512474/198737

Dividing by the number of values: 3

The given fractions are 1512474/198737 and 3/1

On dividing the both fractions,1512474/198737 ÷ 3/1

Then the denominator of the first fraction i.e., 198737 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:

1512474/198737 ÷ 3/1 = 1512474 x 1/198737 x 3

On Multiplying the denominators and the numerators,the fraction value we get,

1512474/596211

Result: 504158/198737

Average of fraction = 504158/198737

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FAQs on Average of Fractions 1/77, 51/87, 7 1/89

1. What is the average of fractions 1/77, 51/87, 7 1/89 ?

Average of Fractions is 504158/198737

2. How to find the Average of Fractions 1/77, 51/87, 7 1/89 ?

Set up an addition equation with the given fractions 1/77, 51/87, 7 1/89 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 1/77, 51/87, 7 1/89 ?

You can find the elaborate solution to find the Average of Fractions 1/77, 51/87, 7 1/89 on our page.