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

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

A **Fraction** is very commonly used for describing a division-based relationship between two numbers, but these numbers have to be from different **Multiplicative** families. This means that fractions are only valid for a denominator that is not a **factor** of the numerator.

This kind of **Division Operation** between numbers is therefore capable of being solved into a singular number, but that number would be a **Decimal Number**. So, to convert a fraction into a decimal number, we use a method called **Long Division**.

Now, let’s go through the **Solution** of our fraction 3/4 getting converted into a decimal number.

## Solution

The first thing to do when solving a fraction to get a **Decimal Value** from it is to convert the fraction numbers into dividing numbers. This is done by comparing the **Components** of a fraction with that of a division.

Thus, the numerator becomes the **Dividend**, and the denominator becomes the **Divisor**:

**Dividend = 3**

**Divisor = 4**

Here, we will introduce the quantity, **Quotient,** which represents the resulting solution to a division. A **Quotient** is directly dependent on the Dividend and the Divisor, and their relationship in our case is expressed as follows:

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

Hence, we look at the **Long Division** solution to our problem given as:

Figure 1

## 3/4 Long Division Method

The **Long Division Method** is known for solving its problems using the process of division in parts. We introduce a **Decimal Point** into the quotient based on the fraction’s numerator or in our case the division’s dividend. If the dividend is **smaller** than the divisor, then we place it at a decimal point and multiply the dividend by the number 10.

Now we also introduce the quantity known as the **Remainder**, it is the number left behind after an iteration of **Division** is done. But it is also the number that becomes the new **Dividend** in the next iteration.

Finally, a **Remainder** is produced because when the divisor is not a **factor** of the dividend, the closest multiple of the divisor to the dividend is then **subtracted** from the dividend. This subtraction then produces a **Remainder**.

So, as our dividend is 3 smaller than 4, we multiply it by 10, and solve:

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

Where:

** 4 x 7 = 28 **

Which produces a remainder equal to 30 – 28 = 2, now we repeat the process as we got a dividend 2 smaller than 4 to multiply it by 10:

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

Where:

**4 x 5 = 20**

This produced no **Remainder,** which means that the divisor 4 is a factor of the dividend 20. Now, we compile the quotient, as we multiplied our **Dividend** 3 by 10 it placed a decimal value in our **Quotient** with the whole number 0.

So, the finalized **Solution** to our problem is 0.75 once all pieces of the division are stitched together.

*Images/mathematical drawings are created with GeoGebra.*