# What Is 2/4 as a Decimal + Solution With Free Steps

**The fraction 2/4 as a decimal is equal to 0.5.**

A **Fraction** describes a relationship between two numbers, and this relationship is based on the concept of division. But what makes a fraction special is that it is **composed** of two numbers that are not multiplicatively related to one another.

Now, if someone were to solve said unsolvable fraction, then it would result in a **Decimal Value**. And yes, there is a way to solve these inconclusive division problems, and this method is called **Long Division**.

Letâ€™s take a deeper look at the solution of our fraction 2/4.

## Solution

We will begin by extracting the Dividend and the Divisor from this fraction, as we know the numerator is the **Dividend** and the denominator is the **Divisor**. We will get the following result:

**Dividend = 2**

**Divisor = 4**

Now, we introduce the **Quotient** which is the result of a division of such sort into our expression:

**Quotient = Dividend $\div$ Divisor = 4 $\div$ 25**

A **Quotient** is determined by solving the division between the Dividend and the Divisor.

That is why we can get a lot of information about the **Quotient** from those two values. As we can see that the Dividend 2 is smaller than 4 so the Quotient will be **Smaller** than 1. But also, that 2 is a **factor** of 4 so we would very easily be able to get a conclusive result.

Now, letâ€™s take a look at the Long Division solution of our fraction 2/4:

Figure 1

## 2/4 Long Division Method

As we are now solving a division problem, we express our numerator and denominator as dividend and divisor from now on.

**2 $\div$ 4Â **

We have one last significant value to discuss now, and this is the Remainder. The **Remainder** as we are aware is the remaining value of an incomplete divisionâ€™s solution. But thatâ€™s not even close to how important this value is in the process of **Long Division**.

The process of **Long Division** occurs in stages or iterations, we take the dividend and attempt to find the **Multiple** of the divisor which is the closest value to the dividend. The **Difference** between the dividend and the divisor is what produces a remainder. If the difference is **zero**, then the division is complete, and otherwise, the next dividend is then the remainder itself.

And if the dividend is smaller than the divisor then a **Decimal Point** is added to the quotient, which in turn then adds a zero to the right of the dividend.

So, looking at our fractionâ€™s dividend, we can see that it is indeed smaller than the divisor, so we introduce a **Decimal Point** and a **Zero**. This produces a dividend of 20:

**20 $\div$ 4 = 5**

Where:

**4 x 5 = 20Â **

Thus, we have a **Complete Division**, the dividend is a multiple of the divisor in the first iteration, and there is no **Remainder** produced. But as a decimal point was introduced before division, the **Quotient** becomes **0.5**.

*Images/mathematical drawings are created with GeoGebra.*