 # 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: 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.