# What Is 10/48 as a Decimal + Solution With Free Steps

**The fraction 10/48 as a decimal is equal to 0.208.**

A **division operation** is one of the **primary** operation types in **mathematics.** The resulting **answer** is usually expressed in the form of a **fraction** or a **decimal number.** The fractions are represented as **a/b** and decimals are expressed as **a.bcd.**

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 **10/48**.

## 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 = 10**

**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 = 10 $\div$ 48**

This is when we go through the **Long Division** solution to our problem. Given is the long division process in Figure 1:

## 10/48 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 **10** and **48,** we can see how **10** is **Smaller** than **48**, and to solve this division, we require that 10 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.

Now, we begin solving for our dividend **10**, which after getting multiplied by **10** becomes **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** and solving for that:

**40 $\div$ 48 $\approx$ 0 **

Where:

**48 x 0 = 0**

This, therefore, produces another **Remainder** which is equal to **40 – 0 = 40**. Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **400**.

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

Where:

**48 x 8 = 384**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.208**, with a **Remainder** equal to **16**.

*Images/mathematical drawings are created with GeoGebra.*