# What Is 2/9 as a Decimal + Solution With Free Steps

**The fraction 2/9 as a decimal is equal to 0.222.**

We use **Fractions** to express the relationship between two numbers where one is **Divided** across another. And when we use said **Fractions** for such an expression, they produce **Decimal Numbers** as their result. This is because these dividing numbers are not in the same **Multiplicative** family and thus produce numbers that lie between **Integers**.

A **Decimal Number,** therefore, has two parts, one is the **Whole Number** part which represents the integer from which it is bigger. The other one corresponds to the amount it is bigger than the integer in **Decimal Points**, and thus a decimal number is formed.

Now, the method used for **Solving** said fraction into a decimal number is called the **Long Division Method**. Thus, letâ€™s go through the solution of this fraction 2/9.

## Solution

So we start by separating the **Fraction** into the division components, this is done by converting the numerator into the **Dividend** and the denominator into the **Divisor**. This can be seen done here:

**Dividend = 2**

**Divisor = 9**

Now, to understand the concept of **Division** better, we take the dividend of 2 and break it down into 9 pieces. Each of these pieces will now be equal to the division, so any one of these is represented by the **Fraction** here. Thus, we have our **Quotient** equal to this:

**Quotient = Dividend $\div$ Divisor = 2 $\div$ 9**

Hence, without further ado we will go into the solution of our fraction using **Long Division Method**:

Figure 1

## 2/9 Long Division Method

We begin by **Analyzing** the dividend against the divisor, as our dividend is **Smaller** than the divisor, we take 2 and multiply it by 10. This is done by placing a **Decimal Point** in the quotient, and this decimal then has a **Whole Number** equal to 0. So, letâ€™s solve for 20/9 as follows:

**20 $\div$ 9 $\approx$ 2**

Where:

**9 x 2 = 18**

Which generated a **Remainder** equal to 20 â€“ 18 = 2, this means that our divisor 9 was not a **Factor** of the dividend 20. As we know that the **Remainder** after one iteration of division becomes the new dividend. We make the new dividend i.e., 2 into a bigger **Dividend** than the divisor, which is done by multiplying it by 10.

**20 $\div$ 9 $\approx$ 2**

Where:

**9 x 2 = 18**

Again, a **Remainder** of 20 â€“ 18 = 2 is generated, and we can see that this is the same remainder that was generated in the last division. So the next one would be the same as well, and we wonâ€™t be solving for that.

Hence, we will finalize our division based on data we have found, and that is a **Repeating Number** 2 in the Quotient. Therefore, we have on our hands a **Repeating Decimal Number**, and this number is expressed as a **Quotient** of 0.222.

*Images/mathematical drawings are created with GeoGebra.*