What Is 4/100 as a Decimal + Solution With Free Steps

The fraction 4/100 as a decimal is equal to 0.04. 

A fraction, expressed as a/b, is a representation of a part of a full whole value. This can be explained by a pizza divided into 8 equal parts and removing one part of the cake leaves us with 7 parts of the total 8 parts of the pizza, which means we have 7/8 of the pizza. The fractions can be written in the form of decimals using the long division process.

Here, we are interested more in the types of division that results 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.

4 100 As A Decimal

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 4/100.

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 seen done as follows:

Dividend = 4

Divisor = 100

Now, we introduce the most important quantity in our process of division, this is 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 = 4 $\div$ 100

This is when we go through the Long Division solution to our problem. Given below is the long division of fraction 4/100 in figure 1:

4/100 Long Division Method

Figure 1

4/100 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 100 we can see how 4 is Smaller than 100, and to solve this division we require that 4 be Bigger than 100.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And if it is then we calculate the Multiple of the divisor which is 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.

As the dividend 40 is still smaller than 100, we multiply it with 10 again to get 400

We take this 400 and divide it by 100, this can be seen done as follows:

 400 $\div$ 100 $\approx$ 4

Where:

100 x 4 = 400

This will lead to the generation of a Remainder equal to 400 – 400 = 0

Finally, we have a Quotient generated after combining the three pieces of it as 0.04, with a Remainder equal to 0.Quotient and Remainder of 4 per 100

Images/mathematical drawings are created with GeoGebra.

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