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

**The fraction 5/4 as a decimal is equal to 1.25.**

**Division **is one of the difficult operations in mathematical problems and when it comes to fraction base division it becomes complicated for most people, but here is a method called **Long Division** through which fractions can be solved quite easily.

The detailed solution by using the **Long Division** method for the given fraction **5/4** is provided in this guide.

**Solution**

The two important terms use in this method are **Dividend** and **Divisor**. The numerator of the fraction is known as the **Dividend** and the denominator is called as **Divisor**. In this fraction, **5** is the **Dividend,** and **4** is the **Divisor**.

**Dividend = 5**

**Divisor = 4**

The resulting term through this process is referred to as **Quotient**.

**Quotient = Dividend $\div$ Divisor = 5 $\div$ 4**

Now, by using the method called Long Division, the fraction can be solved as follows:

Figure 1

**5/4 Long Division Method**

Here is the step-by-step approach to solving the given fraction using the **Long** **Division** method.

We have a fraction:

**5 $\div$ 4**

Here, we know that the numerator is greater than the denominator so we can directly divide both terms.

There is a need for an important term to be introduced named a **Remainder**. It is the leftover part after the division of two numbers in the **Long** **Division** method.

**5 $\div$ 4 $\approx$ 1**

Where:

**4 x 1 = 4**

After this step, the **Remainder** we have is **1**. Now it can be seen that we cannot proceed with the further division because the remainder is less than the Divisor, so we have to add the **Decimal** **point** to the **Quotient**.

After adding the decimal point to the Quotient we can now multiply our remainder by **10** and after doing so our new **Remainder** is **10**. Now the further solution to this problem is:

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

Where:

**4 x 2 = 8**

After this step, we now have a **Remainder** of **2**. As of now, the remainder is again less than the divisor, so for the further process, we have to multiply this term by **10**. By doing so, the remainder we now have is **20**. This time, there is no need to add the **Decimal** point because the decimal point is already added in the previous step, and in the Long division process, we only add the decimal point once, after that we just add zeros to the **Remainder’s right** and proceed with the solution.

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

Where:

**4 x 5 = 20**

So, after this step now we have a **Remainder** of **0** means this is the exact solution of the fraction. Therefore, the resulting **Quotient** is **1.25** for the fraction of **5/4**.

*Images/mathematical drawings are created with GeoGebra.*