# 31/71, 84/56, 2/6, 3 3/14 Fractions Average Calculator

31/71, 84/56, 2/6, 3 3/14 Fractions Average can be found easily using the online tool Fractions Average Calculator and get step by step procedure involved.

## Finding Average of 31/71, 84/56, 2/6, 3 3/14

Given fractions are 31/71,84/56,2/6,45/14

## The LCM of 71,56,6,14 (denominators of the fractions) is **11928**

Arrange the Inputs 71,56,6,14 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 | 71, 56, 6, 14 |

7 | 71, 28, 3, 7 |

71, 4, 3, 1 |

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 7 x 71 x 4 x 3 x 1 = 11928

Therefore, LCM of 71,56,6,14 is 11928

**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(71, 56) = 1

LCM(71, 56) = ( 71 x 56 ) / 1

LCM(71, 56) = 3976 / 1

LCM(71, 56) = 3976

**Step2:**

Here we consider the LCM from the above i.e. 3976 as first number and the next as 6

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

GCF(3976, 6) = 2

LCM(3976, 6) = ( 3976 x 6 ) / 2

LCM(3976, 6) = 23856 / 2

LCM(3976, 6) = 11928

**Step3:**

Here we consider the LCM from the above i.e. 11928 as first number and the next as 14

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

GCF(11928, 14) = 14

LCM(11928, 14) = ( 11928 x 14 ) / 14

LCM(11928, 14) = 166992 / 14

LCM(11928, 14) = 11928

LCM of 71,56,6,14 is 11928

The least common Multiple (LCM) is: 11928.

Rewriting as equivalent fractions with the LCM:

= 5208/11928,17892/11928,3976/11928,38340/11928

= 5208+17892+3976+38340/11928

Totaling the numerator:

65416/11928

Reducing the fraction:

8177/1491

Dividing by the number of values: 4

The given fractions are 8177/1491 and 4/1

On dividing the both fractions,8177/1491 ÷ 4/1

Then the denominator of the first fraction i.e., **1491** 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:

8177/1491 ÷ 4/1 = 8177 x 1/1491 x 4

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

8177/5964

Result: 8177/5964

Average of fraction = 8177/5964

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### FAQs on Average of Fractions 31/71, 84/56, 2/6, 3 3/14

**1. What is the average of fractions 31/71, 84/56, 2/6, 3 3/14 ?**

Average of Fractions is 8177/5964

**2. How to find the Average of Fractions 31/71, 84/56, 2/6, 3 3/14 ?**

Set up an addition equation with the given fractions 31/71, 84/56, 2/6, 3 3/14 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 31/71, 84/56, 2/6, 3 3/14 ?**

You can find the elaborate solution to find the Average of Fractions 31/71, 84/56, 2/6, 3 3/14 on our page.