What Is 18/25 as a Decimal + Solution With Free Steps

The fraction 18/25 as a decimal is equal to 0.72.

The fraction 18/25 is a proper fraction. In a proper fraction, the numerator is smaller than the denominator. The fraction 18/25  can be expressed as a decimal by performing Long Division.

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.

18 25 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 18/25.


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 = 18

Divisor = 25

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 = 18 $\div$ 25

This is when we go through the Long Division solution to our problem. The following figure shows the Long Division method:

18/25 Long Division Method

Figure 1

18/25 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 18, and 25 we can see how 18 is Smaller than 25, and to solve this division we require that 18 be Bigger than 25.

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 18, which after getting multiplied by 10 becomes 180.

We take this 180 and divide it by 25, this can be seen done as follows:

 180 $\div$ 25 $\approx$ 7


25 x 7 = 175

This will lead to the generation of a Remainder equal to 180 – 175 = 5, now this means we have to repeat the process by Converting the 5 into 50 and solving for that:

50 $\div$ 25 $=$ 2 


25 x 25 = 50 

This, therefore, produces another remainder which is equal to 50 – 50 = 0.

Finally, we have a Quotient generated after combining the three pieces of it as 0.72= z, with a Remainder equal to 0.

18 25 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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