 # What Is 80/100 as a Decimal + Solution With Free Steps

The fraction 80/100 as a decimal is equal to 0.8.

Fractions can be classified into three types: proper fractions, improper fractions, and mixed fractions. Proper fractions are those having a greater denominator, while Improper fractions have a numerator greater than the denominator, and the Mixed fraction has the whole number along with an improper fraction.

Here, we are more interested in the division types that result in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers. Now, we introduce the method used to solve said fraction to decimal conversion, called Long Division, which we will discuss in detail moving forward. So, let’s go through the Solution of fraction 80/100.

## Solution

First, we convert the fraction components, i.e., the numerator and the denominator, and transform them into the division constituents, i.e., the Dividend and the Divisor, respectively.

This can be seen done as follows:

Dividend = 80

Divisor = 100

Now, we introduce the most important quantity in our division process: the Quotient. The value represents the Solution to our division and can be expressed as having the following relationship with the Division constituents:

Quotient = Dividend $\div$ Divisor = 80 $\div$ 100

This is when we go through the Long Division solution to our problem. Figure 1

## 80/100 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the division’s components and comparing them. As we have 80 and 100, we can see how 80 is Smaller than 100, and to solve this division, we require that 80 be Bigger than 100.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If so, we calculate the Multiple of the divisor closest to the dividend and subtract it from the Dividend. This produces the Remainder, which we then use as the dividend later.

Now, we begin solving for our dividend 80, which after getting multiplied by 10 becomes 800.

We take this 800 and divide it by 100; this can be seen done as follows:

800 $\div$ 100 = 8

Where:

100 x 8 = 800

This will lead to the generation of a Remainder equal to 800 – 800 = 0.

So, we have a Quotient of 0.8 = z, with a Remainder equal to 0. Images/mathematical drawings are created with GeoGebra.