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

**The fraction 4/5 as a decimal is equal to 0.8.**

**Division** is a primary mathematical operation, and when two numbers are to be divided, they can be expressed in the form of a **Fraction, **although a fraction is only used when the division doesn’t produce an **Integer Value**.

Therefore, when we solve the division of a fraction it results in a **Decimal Value**, which is composed of a **Whole Number** part and a **Decimal Number** part. Now, to solve said fraction into a decimal value is also a tricky process, as we rely on a method called **Long Division** for it.

So let’s go through the **Solution** of our fraction to decimal conversion for the fraction 4/5.

## Solution

We begin by extracting the **Dividend** and the **Divisor** from the fraction, which is done by equating the numerator with the dividend, and the denominator with the divisor. This is done for our **Fraction** as follows:

**Dividend = 4**

**Divisor = 5**

Now, we will discuss the most important quantity in a division, and yes, it is the **Quotient** which is defined as the solution to a **division**. A **Quotient** is found by solving the dividend and the divisor as follows:

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

Hence, we have **Transformed** the numbers expressed as a fraction into a division, and no we shall look at their solution using the **Long Division Method**:

Figure 1

## 4/5 Long Division Method

The **Long Division Method** is known for solving the division problems in pieces, and so we will solve 4/5 using Long Division. The process begins by **Analyzing** the dividend and divisor, whether the dividend is **smaller** than the divisor or not.

If it is, then the **Whole Number** part of the decimal number becomes 0 which represents the non-decimal part of the number. We solve the **Long Division** problems by using the **closest multiple** of the divisor to that of the dividend. So, once we have that we **Subtract** that multiple from the dividend to see how far off we are.

This resulting number from the subtraction is thus the **Remainder**. This will become the new **Dividend** and the process carries on until we either find the exact **Multiple** or we have up to **Third Decimal Place** numbers.

As our dividend is 4 smaller than 5, we begin by **Multiplying** it by 10 and placing a decimal in the Quotient introducing a **Decimal Value**. This is done because when solving for a dividend **Smaller** than the divisor, the only way to solve the problem requires.

So, we will have the dividend as 40, now we solve 40/5:

**40 $\div$ 5 = 8**

Where:

**5 x 8 = 40 **

Thus, we have a solution where no **Remainder** was produced, and the divisor was the **Factor** of the dividend. The **Quotient,** therefore, comes out to be 0.8 once it is compiled.

*Images/mathematical drawings are created with GeoGebra.*