# What Is 18/24 as a Decimal + Solution With Free Steps

**The fraction 18/24 as a decimal is equal to 0.75.**

There are two types ofÂ **divisions**, those that produce an **integer**, and those that produce a **decimal** value. Whenever the dividend is **greater than and a multiple of** the divisor, we get the integer result. If the dividend is s**maller than or not a multiple of** the divisor, we always get 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,Â **which we will discuss in detail moving forward. So, letâ€™s go through the **Solution** of fraction **18/24**.

## 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 = 18**

**Divisor = 24**

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 = 18 $\div$ 24**

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

## 18/24 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 **18**Â and **24,** we can see how **18** is **Smaller** than **24**, and to solve this division, we require that 18 be **Bigger** than 24.

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 **18**, which after getting multiplied by **10** becomes **180**.

*We take this 180 and divide it by 24; this can be done as follows:*

**Â 180 $\div$ 24 $\approx$ 7**

Where:

**24 x 7 = 168**

This will lead to the generation of a **Remainder** equal to **180 â€“ 168 = 12**. Now this means we have to repeat the process by **Converting** the **12** into **120**Â and solving for that:

**120 $\div$ 24 = 5Â **

Where:

**24 x 5 = 120**

This leads to aÂ **remainder** of **120 – 120 = 0**, so we stop the division process and combine the two pieces of theÂ **Quotient** to getÂ **0.75**, which leads to a **final remainder** equal toÂ **0**.

*Images/mathematical drawings are created with GeoGebra.*