Fraction Calculator

The fraction calculator allows you to add, subtract, multiply, and divide simple and mixed fractions.

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About Fraction Calculator

Fraction calculator is a free online tool where you can add, subtract, multiply, and divide simple or mixed fractions. As a result, it will give you the final output instantly with detailed calculations.

Fraction Calculator

The mathematics world doesn't only have integer numbers. There are also fractional and decimal numbers. Also, we use fractions to show a definite portion of the whole.

It's very difficult to represent or quantify partial amounts without the use of fractions. We can easily tell that there are 4 books lying on the desk or I am drinking one glass of juice. But we need the help of fractions to quantify amounts like half or two-thirds of a glass of juice. Hence, we can easily tell a 1/2 or 2/3 glass of juice.

The fraction calculator is very helpful in these cases. It's not just a tool but a complete package of utilities that will make your fraction calculation easier and faster. One special thing about this tool is, it supports two types of calculations. "Simple and Mixed". So, you can toggle between them whichever you want to use. Accordingly, the input boxes will appear where you need to enter your values.

Also, in this article, we will learn about fractions, and how to add, subtract, multiply, and divide fractions manually.

What is Fraction?

In mathematics, we use fractions to represent or quantify some parts out of a whole quantity or number.

For Example:

2
4

Let's understand it with a real-life example.

Suppose you have a cake that has 5 slices. Now, if you want to represent one slice of the whole cake then you can tell as 1/5 of the cake. It means you have 20% part out of the whole cake. Combining all these individual slices will give the full cake.

20% × 5 = 100% or 1/5 × 5 = 1

In addition, if you give two pieces to your friends. Then what is the amount of cake you are left with?

Let's figure it out.

Full Cake = 1
Total number of pieces = 5
One slice = 1/5
Two slices are given = 1/5 + 1/5 = 2/5 or 1/5 × 2 = 2/5
Remaining slices = 1 - 2/5 = 3/5

Therefore, you are left with a 3/5 amount of cake.

You can see, this calculation is as simple as eating a slice of cake. But you will not always encounter the same standard of problems. In that case, the Fraction Calculator is the only tool that will be useful for you. Even more, you can easily evaluate simple to complex fraction operations within a second.

What are Numerator and Denominator?

In fractions, you have to deal with numerators and denominators. It's important to know what they are. So, let's learn about this in detail with an example.

3 → Numerator
5 → Denominator

The numerator is the value of the amount of portion out of the whole. Whereas, the denominator represents the whole value. Let's understand it by taking the blank paper example.

There are 5 parts of the blank paper, So, 5 is the total amount or number. Now, one individual part means 1/5 of the full paper.

Here, 1 is the value of the amount of portion out the whole paper(i.e. 1 part). So, it's placed in the numerator.

1 piece of paper is out of the 5 parts. Therefore, 5 becomes the denominator.

Fraction Operations

Using our fraction calculator, you can do four arithmetic operations with fractions.

1. Addition

When the denominators are same then fraction addition is very easy. Just sum up the numerators. Whereas denominator remains as it is.

For example:

3
7
   +  
2
7
   =  
5
7

When denominators are different, we have to find the Least Common Multiple (LCM) of the denominators.

So, let's take an example and know how to find LCM of denominators.

Example: Perform the Addition of 2/3 and 1/4.

We will use the following formula to add the fractions.

x
y
   +  
p
q
   =  
xq + py
yq
2
3
   +  
1
4
   =  
8 + 3
12
   =  
11
12

2. Subtraction

Just like addition, if the denominators are the same then subtraction also becomes easier. Just subtract the numerators and the denominator remains the same.

3
7
   -  
2
7
   =  
1
7

Here also, we need to determine the LCM of the denominators if they are different.

Example: Subtract 5/3 with 2/4
x
y
   -  
p
q
   =  
xq - py
yq
5
3
   -  
2
4
   =  
20 - 6
12
   =  
14
12
   =  
7
6

3. Multiplication

Fraction multiplication is very straightforward, unlike addition and subtraction. Look at the formula to multiply two fractions:

x
y
   ×  
p
q
   =  
xp
yq

Multiply the numerator with the numerator and denominator with the denominator.

Example: Multiply 3/5 with 4/7
3
5
   ×  
4
7
   =  
3×4
5×7
   =  
12
35

4. Division

Dividing fractions is similar to multiplying fractions but with a little twist. We have to do the cross-multiplication.

Example: Divide 3/5 with 2/6
x
y
   ÷  
p
q
   =  
xq
py
3
5
   ÷  
2
6
   =  
3×6
5×2
   =  
18
10
   =  
9
5

How to use Fraction Calculator?

Firstly, you need a smart device with an active internet connection. Because our tool is online and you can only access it if you have the internet on your phone or laptop. After that, open the Fraction Calculator and follow the instructions below.

1. Select Fraction Type

Our tool supports two types of fraction calculation.

  1. Simple Fractions
  2. Mixed Fractions

Yes, it supports both types of calculation. So, you don't need to find another calculator to do the mixed number calculation.

Simple Fraction Mixed Fraction

2. Enter Fraction Values

The next step is to enter values inside the empty fields. If you choose simple one then you have to enter four values. But if you choose the mixed one then you need to enter six values.

Enter Values

3. Select Operation

Our tool supports four operations.

  1. Addition
  2. Subtraction
  3. Multiplication
  4. Division

So, choose the operation that you need to perform between two fractions.

Select Operation

4. Start Calculation

Lastly, click on the "Calculate" button to start the calculation process. Also, you can use the "Reset" button for recalculation.

Start Calculation

5. Get Output with Calculation

As a result, you will get the final output on your screen. Also, you will get the full calculation for the entered values.

Get Output with Calculation