# What Is -3/4 as a Decimal + Solution With Free Steps

**The fraction -3/4 as a decimal is equal to 0.75.**

Fractions are represented in the form of **p/q** where the line is the division sign that distinguishes between the **numerator** and **denominator**. The upper part of the line is known as the numerator, while the part below the line is referred to as the denominator.

**Division** looks a bit complex among all the mathematical operations, but actually, it is not. Because there is a way to deal with this challenging operator. We can solve fractions by using the **Long Division** method.

The fraction **-3/4** can be converted into a decimal by using a method called the **long division** method.

## Solution

First, we need to understand the terms that will be used in the solution to this problem. Important terms are **Dividend** and **D****ivisor**. The numerator of the fraction is known as the dividend, while the denominator is referred to as the divisor. If we talk about the** p/q** form, then **p** refers to the dividend and **q** refers to the divisor.

**Dividend = -3**

**Divisor = 4**

Now it’s time to introduce another important term, which is the result of the problem and is known as the** Quotient.**

**Quotient = Dividend $\div$ Divisor = -3 $\div$ 4 **

Now, by using the **Long Division** we can solve the problem as:

Figure 1

## -3/4 Long Division Method

You can take a closer look at the **Long Division Method** utilized to fix this issue by doing the following.

The fraction we had:

** -3 $\div$ 4**

When we have a value of the numerator less than the denominator, we have to add the **decimal point** to the quotient. Here the numerator **-3** is less than the denominator **4**, so before starting the method we have to add the decimal point first to the quotient.

Another division-specific term, **Remainder,** is used, as its name shows that it is the value that remains after an incomplete division.

Here the remainder is **-3**, so after putting a decimal point to the quotient, we can add the **zero** to the **remainder’s right** to proceed with our solution. So now the remainder is **-30**.

**-30 $\div$ 4 $\approx$ -7**

Where:

**4 x -7 = -35 **

This shows that a **Remainder** was also generated from this division, and it is equal to **-2**.

Here again, we have the case of a remainder less than the divisor, so we will add **zero** to the **remainder’s right,** and this time we will not add a decimal point to the quotient because it already exists there.

The remainder we get after the previous step is **-2**, so now by putting zero to its right, the new remainder we have is **-20**.

**-20 $\div$ 4 = -5 **

Where:

** 4 x -5 = -20 **

So we have a **Remainder** of **0**. This means this is the exact conversion of the fraction into the decimal. The resulting** Quotient** of the fraction by the long division method is **-0.75**.

*Images/mathematical** drawings are created with GeoGebra.*