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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:

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.

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