# What Is 6/10 as a Decimal + Solution With Free Steps

**The fraction 6/10 as a decimal is equal to 0.6.**

We know that there are four basic **Mathematical Operations** on which most mathematical calculations are based. One of these is the division, and it is expressed between two numbers as p/q. This expression is therefore called a **Fraction**.

Where p/q is a fraction of the size q for the number p. So, **Fractions** are used to express divisions that cannot be solved using traditional multiplication methods.

Now, divisions of the such sort which cannot be solved beyond a certain point that they have to be expressed in terms of a **Fraction** can be solved to result in a **Decimal Value**.

Let’s go through the solution to our problem at hand on 6/10.

## Solution

A fraction is composed of two numbers, one which is divided and the other which divides, and these are known as the **Dividend** and the **Divisor,** respectively. Now, identifying these components is very important:

**Dividend = 6**

**Divisor = 10**

Here, we will introduce the term **Quotient** which refers to the solution of a division. A Quotient is completely dependent on the numbers **Dividend** and the **Divisor**. The very nature of the Quotient can be extracted by just comparing these numbers.

It is a rule of thumb that a dividend smaller than the divisor will always result in a **Quotient** smaller than 1 and vice versa.

**Quotient = Dividend $\div$ Divisor = 6 $\div$ 10**

Now, to find this Quotient for numbers that do not divide completely we use a special method, this is called the **Long Division Method**. Let’s look at the **Long Division** solution of our fraction 6/10:

Figure 1

## 6/10 Long Division Method

Before we begin to solve a fraction into a division, we start by expressing a said fraction in the form of a division:

** 6 $\div$ 10**

Now, we will introduce the final and one of the most significant quantities we will be dealing with here, the **Remainder**. A **Remainder** is a number that is produced as a result of an incomplete division, a division where the divisor is not a **factor** of the dividend.

Under such circumstances, the divisor is used to find the **Multiple** which is the closest to the dividend but also **Smaller**. This is how the quotient is solved in **Iterations** of incomplete divisions.

We begin by analyzing the dividend of 6 which is smaller than the divisor of 10, so we shall introduce a Zero to the right of 6. This will produce 60 as our dividend.

**60 $\div$ 10 = 6**

Where:

**10 x 6 = 60**

Hence, no remainder is produced, but the **Quotient** needs compilation. As we know the Quotient for the division 60/10 is 6 but not for the fraction 6/10.

The addition of **Zero** to the right of 6 came at an addition of a **Decimal Point** to the Quotient. Therefore, our Quotient has become:

**6 $\div$ 10 = 0.6**

*Images/mathematical drawings are created with GeoGebra.*