On this page you will find a fraction calculator that will allow you to perform addition, subtraction, multiplication or division.
Its operation is very simple. You only have to enter the numerator and denominator values of both fractions in the boxes that appear in the tool, select the type of operation you want to perform and press the calculate button. You will automatically get the result you are looking for, even in the case of irreducible format.
We also have available specific fraction calculators with which you can perform specific operations in a simple and intuitive way, without calculations and manual operations that may lead to errors or waste time unnecessarily. If you are looking for a fraction calculator, here are all the ones we have available for you:
Operations with fractions
The sum of fractions is a fairly simple operation as long as we have the same denominator. In this case, just add the numerators and that's it.
In the case that the denominators are different, we will have to look for a common denominator among all the fractions involved in the sum and adapt the numerators to obtain the equivalent fraction that corresponds in each case.
If you want to learning to add fractionsenter our fraction addition calculator and find out or if you wish, use the quick method and use our tool to do it automatically.
For subtract fractions we have to do exactly the same procedure as in the addition, that is, if we have a common denominator in all of them, we simply have to subtract the numerators in the order in which they appear.
If the denominator is different, we must find the common denominator, calculate the equivalent fraction to obtain the new numerators and when we have all that, perform the subtraction.
To see practical examples on how to subtract fractions or access to our calculator for subtracting fractionsClick on the link we have just left you.
The multiplication of fractions does not require finding common denominators or calculating equivalent fractions.
Simply multiply all the numerators together and repeat the same operation for the denominators. The resulting fraction will be the result of this multiplication of fractions.
If you want to learn more about how to multiply fractions or use our calculator, click on the link above.
The fourth operation we are going to see is the division of fractions. In this case, we must perform a cross multiplication, alternating the numerator of the first one with the denominator of the next one. The result must be placed in the numerator.
In the same way, we take the denominator of the first fraction and multiply it by the numerator of the next fraction. The result is placed in the denominator.
For more practical examples of the division of fractions or use the calculator, click on the link below.
How to calculate the irreducible fraction
We call an irreducible fraction a fraction that has already been it cannot be simplified any furtherthat is, its denominator and numerator no longer have any common factor that allows the simplification of the fraction.
If you want to calculate an irreducible fraction or see if it already is, do not hesitate to enter in our irreducible fraction calculator to check it.
There are three types of fractions:
- Own fractions: the numerator is smaller than the denominator (e.g. 2/3)
- Improper fractions: the numerator is greater than or equal to the denominator (5/3 for example).
- Mixed fractionsis a whole number and a proper fraction (1 1/3 for example).
Improper fraction to mixed number
For change from improper fraction to mixed fraction the following must be done:
- Divide the numerator by the denominator
- We will keep the quotient as the whole number of the mixed fraction
- We keep denominator and write the remainder as the new numerator
For example, if we are given the improper fraction 6/4 and we want to convert it to a mixed fraction, we have to divide 6/4 to obtain 1 as the quotient and 2 as the remainder (use our remainder calculator to calculate it).
Therefore, 6/4 is equal to the mixed fraction 1 2/4.
Mixed to improper fractions
Now we want to do the opposite step, ie, from a mixed fraction to an improper fraction. For this we have to:
- Multiplying the whole number by the denominator
- To the previous result we add to the numerator
- We update the numerator of the fraction.
For example, we are going to convert the mixed fraction 2 3/4 to improper. To do this we multiply the whole number (2) by the denominator (4) and get 8 as the result. Now we add 8 + 3 and we obtain that the new numerator is 11.
Therefore, the mixed fraction 2 3/4 is equal to the improper fraction 11/4.
Mixed fractions calculator
Remember that our fraction calculator supports mixed fractions. Just select the "mixed fractions" option and a new box will appear to enter the whole number of each one.
Select the operation you want to perform and when you click on the calculate button you will have the whole process of the operation detailed, including the change from mixed fraction to improper fraction.
More operations with fractions
The following is a list of more calculators related to fractions and that may be of help to you:
Do you miss any other fraction calculator? Leave us a comment and we will develop it and add it to the list of those we already have available.
How to use the fraction calculator?
In our fraction calculator you can see that in the upper part of its interface, there are two cells (one on top of the other one) that act as numerator and denominator of the first fraction.
Next, you have the selector of the operation to be performed (addition, subtraction, multiplication or division) and right after, two other cells to write the numerator and denominator of the second fraction.
When you press the Calculate button, you will get the result of the operation you have chosen in irreducible fraction, mixed format or decimal format.
There is also another section with the step-by-step process so that you know at all times how the final result has been reached.
As you can see, operation is very simple and also applies to the rest of our online calculators.
If you want to to learn how to perform some of the operations with fractionsClick on the link of each one (you have them at the top of the page) and we will show you how it is done with concrete examples.
Fraction Calculator in Excel
If you have Excel installed on your computer, you can also use it as a fraction calculator. This has the advantage that you don't need the Internet, so let's see how you can solve operations with fractions, either simple or mixed.
To get started, open a new spreadsheet and select the range of cells in which you are going to write the fractions. When you have them selected, go to the Format > Cells menu and select the Fraction type.
Now type each fraction you want to add, subtract, multiply or divide in each cell. For example 1/2, Excel will automatically convert it to a fraction.
When you have typed in all the fractions, select another empty cell in which you want the result of the calculation to be displayed. For example, if we have used cell A1 and A2 and we want to add fractions togetherwe will write the following function:
= A1 + A2
You can change addition to subtraction (-), division (/) or multiplication (*) at your convenience.
Remember that Excel will automatically calculate the irreducible fraction or mixed fraction. as appropriate in each case.
How to represent fractions on a line
For representing a fraction on a line you have to divide it in as many parts as the denominator of the fraction indexes. For example, if we want to represent the fraction 4/8 on the line, we will divide it into 8 equal parts as you can see in the picture above these lines.
Subsequently, we count as many divisions as indicated by the number in the numerator and place the fraction at that point on the line.
Representing fractions with different denominators on a straight line
In the event that we want to represent on a line several fractions with different denominators, we have to follow this procedure:
- We divide the line into as many parts as we get the product of the denominators of the fractions. In our example, we multiply 2 x 3 and we get six divisions.
- To locate each fraction you have to multiplying its numerator by the denominator of the other fraction. For example, to the fraction 1/2 we multiply its numerator by 3 and we get that we have to place the fraction in the third division of the line. We do the same with 2/3 and we obtain that we have to place it in the fourth division.
There is another method to represent several fractions with different denominators on a line. reduce them all to a common denominator as we have seen in operations like addition. Once all the fractions have the same denominator, you can represent them on the line in a simple way as we have done in the previous point.
If you have any doubts about how to solve fractions online or you have an exercise in which you have doubts, send us a comment and we will be happy to help you. We hope you found our fraction calculator useful.