# What Is 3/18 as a Decimal + Solution With Free Steps

**The fraction 3/18 as a decimal is equal to 0.166.**

A numeral of the form **p/q**, where p and q are any two numbers (or complete expressions) is called a fraction. p is termed the numerator, and q is the denominator. Fractions represent the division operation, such that **p/q = p $\boldsymbol{\div}$ q**. Therefore, they also produce intergers or decimal values upon evaluation.

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 **3/18**.

## 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 seen done as follows:*

**Dividend = 3**

**Divisor = 18**

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 = 3 $\div$ 18**

This is when we go through the **Long Division** solution to our problem.

## 3/18 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 **3** and **18,** we can see how **3** is **Smaller** than **18**, and to solve this division, we require that 3 be **Bigger** than 18.

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 **3**, which after getting multiplied by **10** becomes **30**. We add a decimal **“.”** to indicate this multiplication by 10.

*We take this 30 and divide it by 18; this can be seen done as follows:*

** 30 $\div$ 18 $\approx$ 1**

Where:

**18 x 1 = 18**

We add **1** to our quotient. This will lead to the generation of a **Remainder** equal to **30– 18 = 12**. Now this means we have to repeat the process by **Converting** the **12** into **120** and solving for that:

**120 $\div$ 18 $\approx$ 6 **

Where:

**18 x 6 = 108**

We add **6** to our quotient. This, therefore, produces another remainder which is equal to **120 – 108 = 12**, the same as before. Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **12 x 10 = ****120**.

**120 $\div$ 18 $\approx$ 6 **

Where:

**18 x 6 = 108**

We add **6** to our quotient. Finally, we have a **Quotient** generated after combining the three pieces of it as **0.166**, with a **final r****emainder** equal to **12**. This is a recurring, non-terminating decimal number as we would get the same remainder value for all the next division steps.

*Images/mathematical drawings are created with GeoGebra.*