# What Is 15/48 as a Decimal + Solution With Free Steps

**The fraction 15/48 as a decimal is equal to 0.312.**

The **fraction 15/48** is a proper fraction. It is a fraction that has its numerator value less than the denominator value. It can be converted into decimal notation by using the **division method**.

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 **15/48**.

## 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 = 15**

**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 = 15 $\div$ 48**

This is when we go through the **Long Division** solution to our problem. The following figure shows the solution for fraction 15/48.

## 15/48 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 **15** and **48,** we can see how **15** is **Smaller** than **48**, and to solve this division, we require that 15 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 **15**, which after getting multiplied by **10** becomes **150**.

*We take this 150 and divide it by 48; this can be done as follows:*

** 150 $\div$ 48 $\approx$ 3**

Where:

**48 x 3 = 144**

This will lead to the generation of a **Remainder** equal to **150 – 144 = 6**. Now this means we have to repeat the process by **Converting** the **6** into **60** and solving for that:

**60 $\div$ 48 $\approx$ 1**

Where:

**48 x 1 = 48**

This, therefore, produces another **Remainder** which is equal to **60 – 48 = 12**. Now this means we have to repeat the process by **Converting** the **12** into **120** and solving for that:

**120 $\div$ 48 $\approx$ 2 **

Where:

**48 x 2 = 96**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.312**, with a **Remainder** equal to **24**.

*Images/mathematical drawings are created with GeoGebra.*