Simply use our free online Fraction Average Calculator to find the average of a set of fractions easily and effortlessly. Just enter your input set of fractions in the input box and click on the calculate button to get the average in no time.
Ex. 1/2,3/4,1/12 (or) 1/2,3/4,-9(1/12) (or) 11/23,3/4,12/18
Here are some samples of Average of Fractions calculations.
Fractions Average Calculator: Are you looking for the best way to make your calculation of fraction average easier and faster? Then take the help of our free online Fractions Average Calculator. This tool makes you save your valuable time in providing the average result in just seconds along with a detailed process on finding the average of the fractions. With the show work, you can easily understand the concept and learn how to find it manually.
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:
Question: Solve the Average of Fractions of 1/2, 3/4, 9/12, 3 5/8?
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.
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.
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.
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.
4. From Where can I get a free online Fractions Average Calculator?
You can get a free online Fractions Average Calculator from our website Onlinecalculator.guru which is trusted and reliable.