# What Is 33/66 as a Decimal + Solution With Free Steps

**The fraction 33/66 as a decimal is equal to 0.5.**

There are usually **two types** of **division** results. One results in an **integer number,** where the division is **completely** done. Whereas the other one **does not** completely divide and hence a resulting answer is a **decimal number.**

Here, we are more interested in the division types that result in a **Decimal** value, as this can be expressed as a **Fraction**. We see fractions as a way of showing two numbers having the operation of **Division** between them that result in a value that lies between two **Integers**.

Now, we introduce the method used to solve said fraction-to-decimal conversion, called **Long Division, **which we will discuss in detail moving forward. So, let’s go through the **Solution** of fraction **33/66**.

## Solution

First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the **Dividend** and the **Divisor,** respectively.

* This can be done as follows:*

**Dividend = 33**

**Divisor = 66**

Now, we introduce the most important quantity in our division process: the **Quotient**. The value represents the **Solution** to our division and can be expressed as having the following relationship with the **Division** constituents:

**Quotient = Dividend $\div$ Divisor = 33 $\div$ 66**

This is when we go through the **Long Division** solution to our problem. Given is the long division process in Figure 1:

## 33/66 Long Division Method

We start solving a problem using the **Long Division Method** by first taking apart the division’s components and comparing them. As we have **33** and **66,** we can see how **33** is **Smaller** than **66**, and to solve this division, we require that 33 be **Bigger** than 66.

This is done by **multiplying** the dividend by **10** and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the **Dividend**. This produces the **Remainder,** which we then use as the dividend later.

Now, we begin solving for our dividend **33**, which after getting multiplied by **10** becomes **330**.

*We take this 330 and divide it by 66; this can be done as follows:*

** 330 $\div$ 66 $\approx$ 5**

Where:

**66 x 5 = 330**

This will lead to the generation of a **Remainder** equal to **330 – 330 = 0**.

Finally, we have a **Quotient** generated as **0.5**, with a **Remainder** equal to **0**.

*Images/mathematical drawings are created with GeoGebra.*