**What Is 5/12 as a Decimal + Solution With Free Steps**

**The fraction 5/12 as a decimal is equal to 0.416.**

A mathematical expression that tells the number of equal parts into which an object can be divided is known as a **Fraction**. There are two elements of a fraction that are separated by a slash or line. These are **Numerator** and **Denominator**, present above and below the slash, respectively.

Usually, fractions are solved by dividing the numerator with the denominator to get its equivalent decimal. In the fraction of **5/12**, **12** is a denominator while **5** is a numerator.

Here, we will demonstrate the method of **Long Division** to simplify a fraction.

**Solution**

To get the solution of a fraction, we begin by converting it into division. By doing so, the numerator of the fraction that is present above the slash becomes a **Dividend**, and the denominator present below the slash becomes a **Divisor**. Therefore, in this example, we get a dividend of **5** and a divisor of **12**.

**Dividend = 5**

**Divisor =12**

Fraction **5/12** means to divide the number **5** into **12** equal parts and in the results, we get a numerical value of **1** part, also known as the **Quotient**. In some cases, fractions are not solved completely and we have a left-over value known as **Remainder**.

**Quotient = Dividend $\div$ Divisor = 5 $\div$ 12**

Now, let us solve a fraction of 5/12 as an example.

Figure 1

**5/12 Long Division Method**

An explanation of the** Long Division** method to solve a fraction is given below.

The fraction given to solve is:

**5 $\div$ 12 **

We know that 5/12 is a **Proper Fraction** because **5** is less than **12**. In a proper fraction, we must introduce a **Decimal Point**, which can be done by adding a zero to the right of the dividend. The dividend in our case is **5**. By inserting a zero to its right we get **50**. This **50** can now be divided by **12** as:

**50 $\div$ 12 $\approx$ 4**

Where:

**12 x 4 = 48**

As remainder 50 – 48 = 2 is a non-zero value, so we again put a zero to the right of the remainder i.e., **2**, and make it **20**. But here we don’t need another decimal point.

** 20 $\div$ 12 $\approx$ 1**

Where:

**12 x 1 = 12 **

Now, the remaining value is 8 as shown below:

**20 – 12 = 8**

When we plug in a zero to right of **8**, it becomes **80**, which can be divided by **12** as:

**80 $\div$ 12 $\approx$ 6**

Where:

** 12 x 2 = 72 **

This time, the **Remainder** 80 – 72 = 8 is the same as that obtained in the last step. This shows that it is a non-terminating and recurring fraction with a repeating decimal number. Thus, the **Quotient** of the given fraction is **0.416** and the remaining value is **8**.

*Images/mathematical drawings are created with GeoGebra.*