**What Is 5 1/4 as a Decimal + Solution With Free Steps**

**The fraction 5 1/4 as a decimal is equal to 5.2.**

A **Fraction** can be employed to separate a smaller portion from a more extensive or complete object. For instance, the fraction 1/8 represents the eighth part of any item. These are also useful in estimating how many components of similar sizes can be combined to obtain a whole object.

According to the respective sizes of the numerator and denominator, the fraction might be either a **Proper**, **Improper,** or **Mixed** **fraction**. We refer to the combination of a proper fraction and a whole number as a mixed fraction. An example is **5 1/4** containing **5** as a whole number and **1/4** as a proper fraction.

Among the different methods to solve a fraction, one is the **Long** **Division** method. It gives us the decimal value and will be studied in detail here.

**Solution**

Since we have a mixed fraction to solve, we cannot solve it until it is transformed into an improper fraction. The equivalent improper fraction is determined as **21/4**.

This fraction will now be solved by division. A division problem has three main elements: dividend, divisor, and quotient. Any number divided into smaller portions is called a **Dividend**, while the dividing number is termed a **Divisor**. However, the number obtained as an answer after dividing two numbers is called a **Quotient**.

The fraction of **21/4** has the following components.

**Dividend = 21**

**Divisor = 4**

**Quotient = Dividend $\div$ Divisor = 21 $\div$ 4**

Another term associated with the **Division** process is remainder. Sometimes, we have two numbers that cannot be divided evenly. These numbers give us certain left-over along with the quotient, which is referred to as **Remainder**.

Figure 1

**5 1/4 Long Division Method**

**Long** **Division** in mathematics is a methodology for breaking down complex division problems into a series of simpler and smaller steps. As an example, the solution of **21/4** is mentioned here.

**21 $\div$ 4**

A greater dividend than a divisor indicates that at this point, we can move forward without a **Decimal** **Point**. Thus, the division of **21** by **4** is mathematically stated as:

**21 $\div$ 4 \approx 5**

**4 \times 5 = 20**

**1** is acquired as the value which is left behind.

**21 – 20 = 1**

This remaining value **1** is made **10,** and a decimal point is gotten in the **Quotient**. Thus, the division is continued as follows.

**10 $\div$ 4 \approx 2**

**4 \times 2 = 8**

Deduction of **8** from **10** gives us **2** as the remaining value.

**10 – 8 = 2**

This **2** is changed to **20** and divided by **4**.

**20 $\div$ 4 = 5**

**4 \times 5 = 20**

There is no remaining value in this step.

**20 – 20 =0**

Hence, we have **5.****25** as the determined decimal value of **5 1/4**.

*Images/mathematical drawings are created with GeoGebra.*