What Is 18/45 as a Decimal + Solution With Free Steps

The fraction 18/45 as a decimal is equal to 0.4.

A simple division process is done by dividing number i into j equal parts. This is very important in mathematics and is usually expressed in the form of i/j which is known as a 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.

18 45 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 18/45.


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 = 18

Divisor = 45

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 = 18 $\div$ 45

This is when we go through the Long Division solution to our problem. Given is the Long division process in Figure 1:

18/45 Long Division Method

Figure 1

18/45 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 45, we can see how 18 is Smaller than 45, and to solve this division, we require that 18 be Bigger than 45.

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 18, which after getting multiplied by 10 becomes 180.

We take this 180 and divide it by 45; this can be done as follows:

 180 $\div$ 45 $\approx$ 4


45x 4 = 180

This will lead to the generation of a Remainder equal to 180 – 180 = 0.

Finally, we have a Quotient generated as 0.4, with a Remainder equal to 0.

18 by 45 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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