**What Is 5/11 as a Decimal + Solution With Free Steps**

**The fraction 5/11 as a decimal is equal to 0.45454545454.**

**Fractions** have a **numerator** and a **denominator** and are represented in **p/q** form. The **p** and **q** represent the numerator and denominator, respectively. We convert fractions to **decimal values** to make them easier to understand, and this conversion requires a mathematical operation called division.

**Division** seems difficult among all mathematical operators, but actually, it is not. We can convert fractions to their decimal value by using a method called the **Long Division** method. For the given fraction of **5/11**, we can use the **long division** method to get its decimal value.

**Solution**

Before finding the solution through the **long division** method, there is a need to understand important terms. Important terms are “**Dividend”** and “**Divisor**.” The numerator in the fraction is known as the dividend, and the denominator is referred to as the divisor. If we talk about the **p/q** form, then the **p** in the fraction is referred to as the **dividend** while the **q** is known as the **divisor**.

For the given fraction of **5/11**, the dividend and the divisor are:

**Dividend = 5**

**Divisor = 11**

There is a need to understand another important term which is **Quotient**. It is the result of the fraction in the decimal value after the solution to the long division method.

**Quotient = Dividend $ \div $ Divisor = 5 $ \div $ 11**

The solution to the fraction through long division is as under:

Figure 1

**5/11 Long Division Method**

We have:

**5 $ \div $ 11**

Here, we have a numerator of 5 and the denominator of the given fraction is **11**. It can be seen that we cannot divide these numbers directly because the numerator is less than the denominator.

So we need to add **zero** to the **right** side of the dividend to proceed to our solution. For that, we have to add the **decimal point** to the quotient. After doing this now, we have a dividend of **50**.

When two numbers are not completely divisible by each other, the leftover number is referred to as the remainder. So now we have:

**50 $ \div $ 11 $ \approx $ 4**

Where:

** 11 x 4 = 44**

The **remainder** we have is **6**. Again, we are in a situation where the remainder is less than the divisor, so we will add zero to the right side of the remainder, and this time there is no need to add the decimal point to the quotient because it is already in the quotient.

So by doing this, we have a remainder of **60**.

**60 $ \div $ 11 $ \approx $ 5**

Where:

** 11 x 5 = 55**

After this step, we got a **remainder** of **5**. Again, by putting zero to the remainder right, we have a remainder of **50**.

**50 $ \div $ 11 $ \approx $ 4**

Where:

** 11 x 4 = 44**

So we have a resulting **Quotient** of **0.454** with a **Remainder** of **6**.

*Images/mathematical drawings are created with GeoGebra.*