Fractions Average Calculator

The following steps will help you to understand the procedure for finding the average of fractions by hand. In order to find the average of numbers, we usually do add all given numbers in the set and divide the total number by the number of given values in set ie., n. In Fractions also we will apply the same technique. So, refer to the below points and get familiar with the procedure to find the average of the fractions:

• First, check the given inputs are numbers, fractions, improper or proper fractions, or mixed fractions.
• If integers, mixed numbers are given in the set, then convert them to improper fractions.
• Rewrite the fractions and improper fractions like the addition equation.
• Now, find the LCD for the fractions and write down each fraction as an equivalent fraction with the help of LCD.
• Add all numerators and write the fraction.
• Now, check if the fraction can be reduced or not. If yes, then reduce the fraction.
• Next, divide the fraction by the number of fractions in the set ie.,'n' or multiply by '1/n'.
• Reduce or simplify the average fraction at last if possible. That's it! the average of the given fractions is calculated.

Example

Question: Solve the Average of Fractions of 1/2, 3/4, 9/12, 3 5/8?

Solution:

Given input numbers are 1/2, 3/4, 9/12, 3 5/8

To find out the average of given fractions, we have to rewrite all the numbers as fractions like mixed numbers to proper fractions.

1/2, 3/4, 9/12, 3 5/8

⇒ 1/2, 3/4, 9/12, 29/8

Now, add up the values and divide the sum by the number of values, to calculate the average.

1/2 + 3/4 + 9/12  + 29/8

Next, find the least common divisor (LCD) for the fractions.

Here, the LCD for the fractions is 24. 

Later, you have to rewrite as equivalent fractions with the LCD:

= 12/24 + 18/24 + 18/24 + 87/24

= 12+18+18+87 / 24

Sum up the number in the numerator place & put that sum over the LCD to get the fractions average result.

= 135/24

Reduce the fraction if possible:

⇒ 135/24 = 45/8

Finally, you need to divide the number by a given number of values ie., 4 or multiply by 1/4 with the number.

45/8 ÷ 4 = 45/8 × 1/4 = 45/32

If possible, reduce or simplify the fraction and get the exact average of fractions

45/32 = 1 13/32.

Therefore, the Average of Fractions is 1 13/32.

1. Find the average of 1/2, 1/5, 1/10?

First, add all given fractions = 1/2+1/5+1/10

= 5/10 + 2/10 + 1/10 = 8/10

Now, Divide this sum of the fractions by the number of values in the set ie., 3:

8/10 ÷ 3 or  8/10 * 1/3

= 8/30 = 0.26666

Thus, the average of the given set of fractions is 0.266667.

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2. How do you calculate the Average of Fractions?

You can solve the average of the fractions Add up the fractions and divide the sum by the number of fractions.

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3. How to solve fractions average using a Calculator?

Simply give the set of fractions as an input in the input field and hit on the Calculate Button to get the average of the fractions in split seconds.

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4. From Where can I get a free online Fractions Average Calculator?

You can get a free online Fractions Average Calculator from our website Multiplyfractions.com which is trusted and reliable.

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