# What Is 4/8 as a Decimal + Solution With Free Steps

**The fraction 4/8 as a decimal is equal to 0.5.**

Conversion of the **fraction 4/8** into a decimal form is pretty easy, and you can find it just in seconds. In this short lesson, we will learn how to find the decimal equivalent of fraction 4/8. It also covers the concept of long division.

**Fractions** are a way of representing various quantities. For instance, if we say that Ana obtained four out of eight marks, the total marks she received are 4 out of 8, and that can be represented in the form of a **fraction as 4/8**. Fractions are usually converted into decimal numbers when dealing with large numbers as they are convenient to handle.

## Solution

The decimal equivalent of 4/8 is **0.5**.

To start with the solution, the first thing needed is to identify the **numerator** and the **denominator**. If you do not know what the numerator and denominator are, don’t worry. We have got you covered.

In a fraction, the number placed above the horizontal line or a slash is called a numerator. In contrast, the number below the horizontal line is called a denominator.

For division, the numerator and denominator can be termed as:

**Numerator = Dividend**

**Denominator = Divisor**

The concept of division for the fraction 4/8 can be demonstrated as follows:

**Dividend = 4**

**Divisor = 8**

**Dividend ÷ Divisor = 4 ÷ 8**

Hence, 4 is divided by 8 to get the result of 0.5.

**4/8 Long Division Method**

The long division method is shown below in figure 1:

It can be visualized that 4 is divided by 8 since 4 is smaller than 8 and division is not possible directly. To make 4 divisible by 8, a **decimal point** is inserted into the quotient, and a zero is added to the dividend. Now the dividend becomes 40 where the divisor is 8. Division can be demonstrated as follows:

**Dividend = 40**

**Divisor = 8**

**Dividend ÷ Divisor = 40 ÷ 8**

**40 ÷ 8 = 5**

As:

**8 x 5 = 40**

The remainder is **zero** as 40 – 40 = 0. Therefore, the division process will stop here, and the decimal equivalent of the **fraction 4/8** is 0.5. The decimal number 0.5 is a **nonterminating fraction** as it has a finite number of digits after the decimal point.

There are different types of decimal numbers, such as **terminating** and **non-terminating decimal numbers**. A terminating decimal number is a number that ends after a finite number of digits and does not have an infinite number of digits after the decimal point. In other words, it can be regarded as a number with an end.

In contrast, **non-terminating** decimal numbers are numbers that do not have a finite end, which means that the division never stops. The non-terminating decimal numbers continue forever without any defined end.

*Images/mathematical drawings are created with GeoGebra.*