# What Is 4/64 as a Decimal + Solution With Free Steps

**The fraction 4/64 as a decimal is equal to 0.062.**

**Improper fractions** are those types of **fractional forms** that have a **numerator greater** in value than the **denominator.** In a Proper Fraction, the vice versa is true that the **denominator** is **greater** than the numerator. Improper fractions are sometimes expressed as an **integer** number coupled with a proper fraction, called as a **Mixed Fraction **

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 **4/64**.

## 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 = 4**

**Divisor = 64**

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 = x $\div$ y**

This is when we go through the **Long Division** solution to our problem. Given is the Long division process in Figure 1:

## 4/64 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 **4** and **64,** we can see how **4** is **Smaller** than **64**, and to solve this division, we require that 4 be **Bigger** than 64.

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 **4**, which after getting multiplied by **10** becomes **40**. This is still less than the divisor hence we multiply it again with **10** to get **400.**

*We take this 400 and divide it by 64; this can be done as follows:*

** 400 $\div$ 64 $\approx$ 6**

Where:

**64 x 6 = 384**

This will lead to the generation of a **Remainder** equal to **400 – 384 = 16**. Now this means we have to repeat the process by **Converting** the **16** into **160** and solving for that:

**160 $\div$ 64 $\approx$ 2 **

Where:

**64 x 2 = 128**

This, therefore, produces another **Remainder** which is equal to **160 – 128 = 32**.

Finally, we have a **Quotient** generated after combining the two pieces of it as **0.062**, with a **Remainder** equal to **32**.

*Images/mathematical drawings are created with GeoGebra.*