# What Is 28/32 as a Decimal + Solution With Free Steps

**The fraction 28/32 as a decimal is equal to 0.875.**

A **Decimal Number** is converted into a **Fraction** by placing “1” and “0’s” in the denominator. e.g. 0.67 is a decimal number and 67/100 is the fraction expression. Here decimal number becomes the numerator and in the denominator, we used 1 in place of the decimal point and write the number of zeros as the number of digits comes after the decimal point. Write 1 with two 0’s in the denominator because 2 digits are used after the decimal point.

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 **28/32**.

## 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 = 28**

**Divisor = 32**

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 = 28 $\div$ 32**

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

## 28/32 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 **28** and **32,** we can see how **28** is **Smaller** than **32**, and to solve this division, we require that 28 be **Bigger** than 32.

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 **28**, which after getting multiplied by **10** becomes **280**.

*We take this 280 and divide it by 32; this can be done as follows:*

** 280 $\div$ 32 $\approx$ 8**

Where:

**32 x 8 = 256**

This will lead to the generation of a **Remainder** equal to **280 – 256 = 24**. Now this means we have to repeat the process by **Converting** the **24** into **240** and solving for that:

**240 $\div$ 32 $\approx$ 7 **

Where:

**32 x 7 = 224**

This, therefore, produces another **Remainder** which is equal to **240 – 224 = 16**. Now we must solve this problem to **Third Decimal Place** for accuracy, so we repeat the process with dividend **160**.

**160 $\div$ 32 = 5 **

Where:

**32 x 5 = 160**

Finally, we have a **Quotient** generated after combining the three pieces of it as **0.875=z**, with a **Remainder** equal to **0**.

*Images/mathematical drawings are created with GeoGebra.*