# What Is 27/30 as a Decimal + Solution With Free Steps

**The fraction 27/30 as a decimal is equal to 0.9.**

A **Decimal Fraction** is a **Proper Fraction** whose denominator is a power of 10. e.g. 3\10, 3\100, 3\1000 are the decimal fractions here in these examples denominators of fractions having values of 10, in the first fraction value of denominator is 10 with power 1, 2nd fraction denominator is 100 (10 with power 2), and 3rd fraction denominator is 1000( 10 with power 3).

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 **27/30**.

## 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 = 27**

**Divisor = 30**

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 = 27 $\div$ 30**

This is when we go through the **Long Division** solution to our problem. The following figure shows the long division:

## 27/30 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 **27** and **30,** we can see how **27** is **Smaller** than **30**, and to solve this division, we require that 27 be **Bigger** than 30.

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 **27**, which after getting multiplied by **10** becomes **270**.

*We take this 270 and divide it by 30; this can be done as follows:*

** 270 $\div$ 30 = 9**

Where:

**30 x 9 = 270**

This will lead to the generation of a **Remainder** equal to **270 – 270 = 0**. We have a **Quotient** as **0.9=z**, with a **Remainder** equal to **0**.

*Images/mathematical drawings are created with GeoGebra.*