# What Is 98/99 as a Decimal + Solution With Free Steps

**The fraction 98/99 as a decimal is equal to 0.989.**

We can express any **fraction **in the form of **decimal **numbers. The fraction can be proper or improper depending on the numerator’s and denominator’s values. The **division method **can be used to convert a fraction into decimal form.

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,Â **which we will discuss in detail moving forward. So, letâ€™s go through the **Solution** of fraction **98/99**.

## 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 = 98**

**Divisor = 99**

Now, we introduce the most important quantity in our division process: theÂ **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 = 98 $\div$ 99**

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

## 98/99 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 **98**Â and **99,** we can see how **98** is **Smaller** than **99**, and to solve this division, we require that 98 be **Bigger** than 99.

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 **98**, which after getting multiplied by **10** becomes **980**.

*We take this 980Â and divide it by 99; this can be done as follows:*

**Â 980 $\div$ 99 $\approx$ 9**

Where:

**99 x 9 = 891**

This will lead to the generation of a **Remainder** equal to **980 â€“ 891 = 89**. Now this means we have to repeat the process by **Converting** the **89** into **890**Â and solving for that:

**890 $\div$ 90 $\approx$ 8**

Where:

**99 x 8 = 792**

This, therefore, produces another **Remainder** which is equal to **890 â€“ 792 = 98**. Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **980**.

**980 $\div$ 99 $\approx$ 9Â **

Where:

**99 x 9 = 891**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.989**, with a **Remainder** equal to **89**.

*Images/mathematical drawings are created with GeoGebra.*