# What Is 9/90 as a Decimal + Solution With Free Steps

**The fraction 9/90 as a decimal is equal to 0.1.**

The division of two numbers **p** and **q** results in either an **integer **or **decimal** value. If p is the dividend and q is the divisor, then if p is both a multiple of and greater than q, we get an integer result. If either of these conditions is not satisfied, we get a decimal value. Sometimes, we represent this in the form of fractions **p/q**.

We know that **Division** is one of the four primary operators of mathematics, and there are two types of divisions. One solves entirely and results in an **Integer** value, while the other doesn’t translate to completion, producing a **Decimal** value.

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 **9/90**.

## 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 done as follows:*

**Dividend = 9**

**Divisor = 90**

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 = 9 $\div$ 90**

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

## 9/90 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 **9** and **90,** we can see how **9** is **Smaller** than **90**, and to solve this division, we require that 9 be **Bigger** than 90.

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 **9**, which after getting multiplied by **10** becomes **90**.

*We take this 90 and divide it by 90; this can be done as follows:*

** 90 $\div$ 90 = 1**

Where:

**90 x 1 = 90**

This will lead to the generation of a **Remainder** equal to **90 – 90 = 0**. Thus our **Quotient** is **0.1** with a final **remainder** of **0**.

*Images/mathematical drawings are created with GeoGebra.*