What Is 25/100 as a Decimal + Solution With Free Steps

The fraction 25/100 as a decimal is equal to 0.25.

We know that Division is one of the four primary operators of mathematics, and there are two types of divisions. One solves completely and results in an Integer value, whilst the other doesn’t solve to completion, therefore, producing a Decimal value.

Fraction denotes the division operation in m mathematics. The division operation is one of the 4 basic fundamentals that are used in mathematics. it is represented as a/b where b is the denominator and a is the numerator. This fraction can be further represented as a decimal form with the help of 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.

25 100 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 25/100.


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 = 25

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 = 25 $\div$ 100

This is when we go through the Long Division solution to our problem. Given below is the long division process for this fraction in Figure:

25/100 Long Division Method

25/100 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 25, and 100 we can see how 25 is Smaller than 100, and to solve this division we require that 25 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 25, which after getting multiplied by 10 becomes 250.

We take this 250 and divide it by 100, this can be seen done as follows:

 250 $\div$ 100 $\approx$ 2


 100 x 2 = 200

This will lead to the generation of a Remainder equal to 250 – 200 = 50, now this means we have to repeat the process by Converting the 50 into 500 and solving for that:

500 $\div$ 100 $\approx$ 5 


100 x 5 = 500

This, therefore, produces another remainder which is equal to 500 – 500 = 0.

Finally, we have a Quotient generated after combining the three pieces of it as 0.25, with a Remainder equal to 0.

25 by 100 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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