# What Is 1/48 as a Decimal + Solution With Free Steps

**The fraction 1/48 as a decimal is equal to 0.0208.**

The **division** is one of the four basic arithmetic operators. The division between two numbers is often represented by **fractions**. The solution of such fractions can either be a decimal or an integer.

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 **1/48**.

## 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 = 48**

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 $\div$ 48**

This is when we go through the **Long Division** solution to our problem. Figure 1 shows the solution for the fraction 1/48.

## 1/48 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 **48,** we can see how **1** is **Smaller** than **48**, and to solve this division, we require that 1 be **Bigger** than 48.

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.

As dividend 1 is smaller than the divisor 48 we multiply it by 10. After multiplying it becomes 10 and still, it is smaller than the denominator, so we again multiply it by 10. This multiplication requires an extra zero in the quotient.

Now, we begin solving for our dividend which is **100**.

*We take this 100 and divide it by 48; this can be done as follows:*

** 100 $\div$ 48 $\approx$ 2**

Where:

**48 x 2 = 96**

This will lead to the generation of a **Remainder** equal to **100 – 96 = 4**. Now this means we have to repeat the process by **Converting** the **4** into **40**, but it is still smaller than the divisor which is 48, so it is multiplied by 10 again to make it **400**. Also, an extra zero is added to the quotient. Now the new dividend is 400 and solving for that:

**400 $\div$ 48 $\approx$ 8 **

Where:

**48 x 8 = 384**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.0208**, with a **Remainder** equal to **16**.

*Images/mathematical drawings are created with GeoGebra.*