In doing fractions, we need to know first the definition of fractions. A fraction is simply means a part of a

whole. It is compose of two parts namely the numerator and the denominator. The numerator is the

number of parts you have while the denominator is the number of parts the whole is divided into. Let us

say for example in the fraction 5/7 – the numerator is 5 while 7 is the denominator. By simply memorizing these terms above, you are already a step ahead to learning how to do fractions. The following article will explain in detail the basics of doing fractions.

**Simplifying or Reducing Fractions**

There are some fractions that may look like diffirent but actually they are the same. Follow the example below to properly learn how this process works:

6/12 = 3/6 = 1/2

It is usually best to show an answer using the simplest fraction (1/2 in this case). This is called putting an answer in “simplest form.”

**Adding Fractions**

You can add fractions easily if the bottom number (the denominator) is the same. Follow the example below to properly learn how this process works:

1/4 + 1/4 = 2/4 = 1/2

But what if the denominators (the bottom numbers) are not the same? As in this example. Follow it to properly learn how the process works:

3/8 + 1/4 = ?

You must somehow make the denominators the same. This means finding a common denominator and changing the top respectively.

In this case it is easy, because we know that

1/4 is the same as 2/8:

3/8 + 2/8 = 5/8

Always simply answer to its simple form.

**Subtracting Fractions**

Subtracting fractions is more or less the same with adding fractions.

You can subtract fractions easily if the bottom number (the denominator) is the same:

1/8 – 1/12 = 2/20 = 1/10

But what if the denominators (the bottom numbers) are not the same? As in this example:

6/16 – 2/8 = ?

You must somehow make the denominators the same.

In this case it is easy, because we know that

2/8 is the same as 4/16:

6/16 – 4/16 = 10/16 = 5/8

Always simply answer to its simple form.

**Multiplying Fractions**

In multiplying fractions, follow these 3 simple steps below:

- Multiply the top numbers (the numerators).
- Multiply the bottom numbers (the denominators).
- Simplify the fraction if needed.

½ x 2/5

Step 1. Multiply the top numbers:

1 /2 x 2/5 =1 x 2 / = 2/

Step 2. Multiply the bottom numbers:

1/2 x 2/5 = 1×2/2×5 = 2/10

Step 3. Simplify the fraction:

2/10 = 1/5

**Dividing Fractions**

- Step 1. Turn the second fraction (the one you want to divide by) upside-down
- (this is now a reciprocal).
- Step 2. Multiply the first fraction by that reciprocal
- Step 3. Simplify the fraction (if needed)

1/2 / 1/6

Step 1. Turn the second fraction upside-down (it becomes a reciprocal):

1 /6 becomes 6/1

Step 2. Multiply the first fraction by that reciprocal:

1/2 x 6/1 = 1 x 6 / 2 x 1 = 6/2

Step 3. Simplify the fraction:

6/2 = 3