# What Is 3/25 as a Decimal + Solution With Free Steps

**The fraction 3/25 as a decimal is equal to 0.12.**

The most common way of expressing a fraction is p/q where both p and q represent a non-zero number. And a **Fraction** represents the operation of division acting between two numbers, thus dividing one over the other.

Now, it is important to note that dividing two numbers such as in a fraction would lead to a **Decimal Value**. And the method used to convert a fraction into a decimal value is called **Long Division**.

Here, our given fraction is **3/25,** so letâ€™s find the solution to it.

## Solution

We begin by understanding the two different parts of a **Fraction** and setting up our problem in terms of them. These parts are indeed the **Dividend**Â and the **Divisor**.

**Dividend = 3**

**Divisor = 25**

There is another term that is very commonly used in the works of a **Fraction** and that is a **Quotient**, which is the solution to a division.

**Quotient = Dividend $\div$ Divisor = 3 $\div$ 25**

Now, we shall look at the **Long Division** solution to this problem as follows:

Figure 1

### 3/25 Long Division Method

Here, we will solve our problem originally to be expressed as:

**3 $\div$ 25Â **

Now, this fraction turned into a division tells a lot about its **Quotient**. One major piece of information would be that the quotient is smaller than 1 and greater than 0, this is because the **Dividend** is smaller than the **Divisor**.

This is the point in time when we acknowledge the **Remainder** in this article. The **Remainder** is the quantity that is left as a result of an incomplete division. Thus, the divisor is not a **Factor** of the dividend.

Therefore, we have to introduce **Zeros** and place decimals. Now, we begin by looking at 3 $\div$ 25 and concluding that we require to put a decimal in this divisionâ€™s **Quotient**. So, we get the dividend as 30.

**30 $\div$ 25 $\approx$ 1**

Â Where:

**25 x 1 = 25Â **

So, we have a remainder of 30 â€“ 25 = 5 produced.

Now, as a **Remainder** was produced, it is proof that the division was incomplete and we donâ€™t have a **Factor **so, we carry on with the process, and get a dividend of 50.

**50 $\div$ 25 = 2**

Where:Â

**25 x 2 = 50Â **

Now it must be noted that the solution to our problem has been calculated. The **Remainder** is indeed zero, as 50 â€“ 50 = 0, and the** Factor** to the dividend which is 25 is found.

Thus, we have a **Quotient** value equal to 0.12, and this is found by placing together each quotient found for each division that we performed when solving the original problem. There is no **Remainder** as we had a complete division at the end when dealing with 50 as the dividend.

*Images/mathematical drawings are created with GeoGebra.*