# What Is 9/100 as a Decimal + Solution With Free Steps

**The fraction 9/100 as a decimal is equal to 0.09.**

An important concept of mathematics is **Fraction**, that is simplified by division. Division which transforms a fraction into its decimal number, looks like the trickiest operation among all the mathematical operations. But it can be made easy using certain techniques.

Here, we are interested more in the types of division that results 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, letâ€™s go through the **Solution** of fraction **9****/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 = 9**

**Divisor = 100**

Now, we introduce the most important quantity in our process of division, this is 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 = 9 $\div$ 100**

This is when we go through the **Long Division** solution to our problem, which can be understood in figure 1.

## 9/100 Long Division Method

We start solving a problem using the **Long Division Method** by first taking apart the divisionâ€™s components and comparing them. As we have **9**, and **100**Â we can see how **9**Â is **Smaller** than **100**, and to solve this division we require that 9 be **Bigger** than 100.

This is done by **multiplying** the dividend by **10** and checking whether it is bigger than the divisor or not. And if it is then we calculate the **Multiple** of the divisor which is 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 **9**, which after getting multiplied by **10** becomes **90**.

*We take this 90Â and divide it by 100, this can be seen done as follows:*

**Â 90 $\div$ 100 $\approx$ 0**

Where:

**90 x 0 = 0**

This will lead to the generation of a **Remainder** equal to **90 â€“ 0 = 90**, now this means we have to repeat the process by **Converting** the **90**Â into **900**Â and solving for that:

**900 $\div$ 100 $\approx$ 9Â **

Where:

**100 x 9 = 900**

This, therefore, produces a remainder which is equal to **900****Â â€“ 900 = 0**. Which tells us that we haveÂ completely solved the fraction.

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.09 = z**, with a **Remainder** equal to **0**.

*Images/mathematical drawings are created with GeoGebra.*