# What Is 17/24 as a Decimal + Solution With Free Steps

**The fraction 17/24 as a decimal is equal to 0.708.**

Numbers can be represented alternatively in the form of **fractions** and **decimals**. Fractions are expressed as** a**/**b**, where **b≠0**, while decimals are written as the whole number part connected with the fractional part by a decimal point like **0.9**. Interestingly, a fraction can be readily converted to its decimal form for which the most commonly used method is “**Long Division**“.

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 **17/24**.

## 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 seen done as follows:*

**Dividend = 17**

**Divisor = 24**

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 = 17 $\div$ 24**

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

## 17/24 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 **17** and **24,** we can see how **17** is **Smaller** than **24**, and to solve this division, we require that 17 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 **17**, which after getting multiplied by **10** becomes **170**.

*We take this 170 and divide it by 24; this can be seen done as follows:*

** 170 $\div$ 24 $\approx$ 7**

Where:

**24 x 7 = 168**

This will lead to the generation of a **Remainder** equal to **170 – 168 = 2**. Now this means we have to repeat the process by **Converting** the **2** into **200 **(multiplying **10** twice and adding **0** to the quotient) and solving for that:

**200 $\div$ 24 $\approx$ 8 **

Where:

**24 x 8 = 192**

This, therefore, produces another remainder which is equal to **200 – 192 = 8**. Now we stop solving this problem because we get the **Third Decimal Place **in the** Quotient. **Finally, we have a **Quotient** generated after combining the pieces of it as **0.708 = z**, with a **Remainder** equal to **8**.

*Images/mathematical drawings are created with GeoGebra.*