# What Is 1/80 as a Decimal + Solution With Free Steps

**The fraction 1/80 as a decimal is equal to 0.012.**

The basic mathematical operation of division can be represented in the form of a numeral **p/q**, commonly known as a **fraction**. A fraction is simply a representation of division, and therefore all the properties of division are applicable to it. Therefore, **1/80** is equal to **1 **$\boldsymbol\div$ **80**.

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 **1/80**.

## 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 = 1**

**Divisor = 80**

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 = 1 $\div$ 80**

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

## 1/80 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 **1** and **80,** we can see how **1** is **Smaller** than **80**, and to solve this division, we require that 1 be **Bigger** than 80.

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.

In our case, however, **1 x 10 =** **10**, which is** still** **smaller** than 80. Therefore, we again multiply by 10 to get **10 x 10 =** **100**, which is **bigger** than 80.

Now, we begin solving for our dividend **1**, which after getting multiplied by **100** becomes **100**. To indicate the double multiplication by 10, we add a decimal **“.”** and **0** next to it in our quotient.

*We take this 100 and divide it by 80; this can be done as follows:*

** 100 $\div$ 80 $\approx$ 1**

Where:

**80 x 1 = 80**

This will lead to the generation of a **Remainder** equal to **100 – 80 = 20**. Now this means we have to repeat the process by **Converting** the **20** into **200** and solving for that:

**200 $\div$ 80 $\approx$ 2 **

Where:

**80 x 2 = 160**

This, therefore, produces another **Remainder** which is equal to **200 – 160 = 40**. We have three decimal places now, so we stop and combine them to get the **Quotient** as **0.012**, with a final **remainder** equal to **40**.

*Images/mathematical drawings are created with GeoGebra.*