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

**The fraction 1/4 as a decimal is equal to 0.25.**

A **Fraction** is a name for the mathematical expression of something being divided into equal parts or sections. The **Denominator** and the **Numerator** are the two parts of a fraction. Usually, solving fractions using multiples other than their fractional representations is challenging, but turning them into** Division** is a simple solution.

So, instead of using the Multiples method, we can solve these fractions using the **Long Division **method and receive the outcome in decimal values.

Here, the fraction **1/4** is solved by the method of **Long Division **to obtain its decimal value.

**Solution**

To begin with, we first have to divide the fraction. **Division** is the reverse of multiplication and **Dividends** and **Divisors** are two of the terms used to describe it. The term divisor refers to the number that divides the dividend, which is also a number. In the fraction **1/4**, **1** is a dividend, while **4** is a divisor.

**Dividend = 1**

**Divisor = 4**

**Quotient** and **Remainder**, two further division-specific concepts, can now be used. The final answer which we get from the division is called a **Quotient**. It can be stated as follows:

**Quotient = Dividend $\div$ Divisor = 1 $\div$ 4**

**The remainder**, on the other hand, stands for a quantity that is left over after incomplete or partial division.

Below are detailed instructions for utilizing the **Long Division** method to solve the fraction of **1/4**.

Figure 1

**1/4 Long Division Method**

The complete procedure to solve fraction **1/4** is shown below.

** 1 $\div$ 4 **

While solving a division problem, we see which one is smaller among the **Divisor** and **Dividend**. if the dividend is smaller than the divisor, we plug in a zero to the right of the dividend and have a **Decimal Point **in the **Quotient**.

In this question, **1** is the dividend, and **4** is the divisor. As **4** is greater than **1**, we use a decimal point and place a zero to the right of **1**, which makes it **10**. Now, it can be solved as:

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

Where:

** 4 x 2 = 8 **

The** Remainder** can be found as:

**10 – 8 = 2**

As we have a non-zero value of the **Remainder**, we need to solve it further to have complete results. Thus, we again place a zero to the Remainder’s right but don’t use any decimal point this time, because there is already a decimal value in **Quotien**t.** The remainder** becomes **20**. A further solution is given as:

**20 $\div$ 4 $\approx$ 5 **

Where:

**4 x 5 = 20 **

The **Remainder** is given as:

**20 – 20 = 0**

This time, the **Remainder** is **0**. It means that the fraction is solved completely and we don’t need to solve further. We have **0.25** as a **Quotient**.

*Images/mathematical drawings are created with GeoGebra.*