# What Is 1/10 as a Decimal + Solution With Free Steps

**The fraction 1/10 as a decimal is equal to 0.1.**

A **Decimal Number** is just like any other number, but it contains two parts, a **Whole Number** part, and a **Decimal** part. The whole number part of the decimal consists of an **Integer** that is not a decimal value, whilst the decimal part contains only **Decimal Values**.

The **Decimal Values** we refer to in this definition are numbers that are smaller than 1, and hence have to be expressed as a fraction of 1. This is where we will introduce the concept of **Fractions**.

A **Fraction** is defined as a piece of a bigger object, and that is exactly what fractions represent in mathematics as well. Therefore, a division that leads to a value that lies between two **Consecutive Integers** would have to be expressed in the form of a fraction.

Now, let’s solve our fraction 1/10 also referred to as **One Tenths **into its corresponding decimal value.

## Solution

To solve a **Fraction** of a number, we must first understand what it truly means in terms of a division. A fraction can be transformed into a division as the numerator is the **Dividend** in a division and the denominator is the **Divisor**.

**Dividend = 1**

**Divisor = 10**

Here, the **Dividend** is the number being divided i.e., broken down into a certain number of pieces. This number is dictated by the value **Divisor**, which divides the dividend.

So, if we divide 1 by 10, we break 1 down into 10 pieces and take one of those pieces and we have our **Quotient,** which is the result of a division:

**Quotient = Dividend $\div$ Divisor = 1 $\div$ 10**

Now, let’s look at the **Long Division** Solution of our fraction 1/10:

Figure 1

## 1/10 Long Division Method

The **Long Division Method** is the most common method for solving divisions that cannot result in a fixed integer value. The process is carried out by finding the **Closest Multiple** of the divisor to the dividend, as the dividend is not the divisor’s **Multiple**.

This **Multiple** must be smaller than the dividend, and the number that produces this multiple of the divisor becomes part of the **Quotient**. But our work doesn’t end here, as there will be a **Remainder** after subtracting the multiple from the dividend, which then becomes the new **Dividend**.

Finally, we need to address one last important piece of information. When solving a division with **Long Division Method**, a point in time will always be reached. This is when the dividend will become **Smaller** than the divisor, and when that happens, we bring in the **Decimal Point** into the Quotient, and along with that, we **Multiply** the dividend by 10.

Now, looking at our dividend of 1, we multiply it by 10 and place a **Decimal** in the Quotient where the whole number is 0. Solving for it results in:

**10 $\div$ 10 = 1**

Where:

**10 x 1 = 10**

Hence, we have a conclusive solution with no remainder. The **Quotient** came out to be **0.1**.

*Images/mathematical drawings are created with GeoGebra.*