What Is 20/100 as a Decimal + Solution With Free Steps

The fraction 20/100 as a decimal is equal to 0.2.

The division of two numbers p (dividend) and q (divisor), that is p $\div$ q, can be represented as a fraction p/q. Thus a fraction is simply a numeral representing division. Based on the relative values of p and q, a fraction can be either proper or improper. 20/100 is a proper fraction, so it results in a decimal value.

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.

20 100 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 20/100.

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 = 20

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 = 20 $\div$ 100

This is when we go through the Long Division solution to our problem.

20 100 as a decimal

20/100 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 20, and 100 we can see how 20 is Smaller than 100, and to solve this division we require that 20 be Bigger than 100.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. 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 20, which after getting multiplied by 10 becomes 200. We add the decimal “.” to our quotient to indicate this initial multiplication by 10.

We take this 200 and divide it by 100, this can be seen done as follows:

 200 $\div$ 100 = 2

Where:

100 x 2 = 200

We add 2 to our quotient. This will lead to the generation of a Remainder equal to 200 – 200 = 0, so our division is complete and we end up with a Quotient equal to 0.2, with a final remainder equal to 0.

20 100 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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