**What Is 1/5 as a Decimal + Solution With Free Steps**

**The fraction 1/5 as a decimal is equal to 0.2.**

The mathematical representation of something that has been divided into two or more sections or parts is called a **Fraction**. There are two components of fraction, which are **Denominator** and **Numerator.** Usually, it is difficult to solve fractions using multiples other than their fractional representations. But an easy way is to transform them into division.

Here we use the method of **Long Division** to solve these fractions instead of the **Multiples** method. This method gives us the result in decimal values.

In this question, a fraction of **1/5** is solved using the method of **Long Division**, and its decimal equivalent is found.

**Solution**

To start, we first convert the fraction into a division. The opposite of multiplication is known as **Division** and its components include **Dividends** and **Divisors**. In the solution, we separate these components of division according to their operations and functions. A dividend is a number, that is being divided, while the number dividing the dividend is called the divisor. In the problem given, **1** is the dividend, and **5** is the divisor.

Thus, the given fraction can be written in the form of dividend and divisor as:

**Dividend = 1**

**Divisor = 5 **

Now, two other division-specific terms **Quotient** and **Remainder** can be introduced. **The quotient** is the solution obtained as a result of division. It can be expressed as:

**Quotient = Dividend $\div$ Divisor = 1 $\div$ 5**

Whereas, **Remainder** represents a term that is left if the division is not done completely.

Complete steps to solve this fraction of **1/5** using the **Long Division **method are shown below.

Figure 1

**1/5 Long Division Method**

The detailed steps of the **Long Division **are shown below**.**

We have to solve a fraction of **1/5**.

**1 $\div$ 5 **

The first step of long division is to check if the **Divisor** is greater than the **Dividend**. If the divisor is greater, we need to introduce a Decimal Point. For this purpose, we have to place a zero to the right of the dividend. However, if the dividend is greater, we don’t need any Decimal Point.

In the given problem, **1** is smaller than **5**, which means Divisor is smaller than Dividend so, we need a **Decimal Point** to proceed further. To have a decimal point, we add a zero to the right of the dividend. When we add a zero to **1**, it becomes **10**.

Now, we solve as:

**10 $\div$ 5 $\approx$ 2**

Where:

**5 x 2 = 10 **

To check the R**emainder**, we subtract the two values as shown below.

**10 – 10 = 0**

We get **0** remainders as a result of this division. It indicates that the fraction is solved completely and there is no need for further calculations. **Quotient** **0.2** is our final and accurate result of this division.

*Images/mathematical drawings are created with GeoGebra.*