# How to convert fractions to decimals

How to convert fractions to decimals? Rest assured this is quite simple. In fact, you can even do it by hand. However, if you think it is a drag to do it this way you can accomplish it with the help of your calculator. Keep reading to know how to master this technique easily. Furthermore, once mastered you will be able to switch between fractions and decimals. You will also be able to convert decimals to percentages. Let’s first learn more about fractions and decimals.

## What is a Fraction?

A fraction represents a part of a numerical value, in other words, it can be defined as portions of a whole. A fraction can be a piece of a whole that can be any number or any specified value. There are two important parts in any fraction. We call them the numerator and a denominator.

The numerator is the top number of a fraction. It denotes the number of fractional portions shown.

The denominator is the number found at the bottom of the fraction. It represents how many parts the whole has been divided into.

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Example of fractions

Now that you know more about fractions; let’s take a look at an example of fractions before we learn more about how to convert fractions to decimals.  Let’s take the fraction, 1/6 for example. What does this represent? The number 1 is the numerator, and the number 6 is the denominator.

How much do you need to make it a whole number?  You need 5/6. To make it simpler to understand fractions; imagine you have one piece of cake and you need 5 pieces to make it a whole again.

## What is a Decimal?

What is a decimal? A decimal point is just a small dot. It is placed between two numbers known as integers, in a group of numbers. Integers are whole numbers that are placed to the left of the decimal point. As for decimals are numbers to the right of the decimal point. In other words, a decimal is a number that falls between two numbers. It is greater than the first number but less than the other.

You can understand it this way; after the decimal point, the number or set of numbers that emerge, express the value of a fraction. So, yeah is very easy to convert fractions to decimals and vice versa. Now pay close attention to how to read decimals. Each digit number goes ten times greater than the one before it as it moves to the left. Thus, it goes as such; first, we have tenths (1/10) to the right of one’s position. Then hundredths (1/100) to the right of tenths. Next is thousandths (1/1000) to the right of hundredths, and so on…

Examples of decimals

7.2 represents 7 as a whole and 2 tenths.

1.43 represents 1 as a whole, 4 tenths and 3 hundredths.

8.023 represents 8 as a whole, 0 tenths, 2 hundredths and 3 thousandths.

### Simple steps to convert fractions to decimals

The most important thing in a fraction is the division symbol. You can use it to rewrite the line which splits the numerator and denominator into two, making it a fraction. To convert fraction to decimal, simply divide the numerator by the denominator. You can make use of a calculator if necessary or use the tool that our developers have prepared for this purpose.

### Convert fractions to decimals examples

Example 1: To convert 9/10 simply divide the numerator by the denominator. Thus divide 9 by 10 and you get 0.9.

Example 2:  To convert 58/100, divide 75 by 100 and you get 0.75

And lastly, Example 3:  To convert 5/1000 divide 5 by 1000 and you get 0.005

As you can see, it is relatively simple to express fractions to decimals, especially if you do it with a calculator. However, it can sometimes become quite tricky if you are not using any and have to do it yourself. In such cases, the Long division is more helpful, if the conversion is a complex one. For those familiar with division, this is the best and easiest way to change fractions to decimals.

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#### Conclusion

It is very easy to convert fractions to decimals and vice versa, but still, many students struggle with mathematics. As we know, once a student has fallen behind, it becomes quite difficult to catch up. But it is not impossible, if needed, get some help through a tutor. We hope that this article has been of some help.