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What Is 3/18 as a Decimal + Solution With Free Steps

The fraction 3/18 as a decimal is equal to 0.166.

A numeral of the form p/q, where p and q are any two numbers (or complete expressions) is called a fraction. p is termed the numerator, and q is the denominator. Fractions represent the division operation, such that p/q = p $\boldsymbol{\div}$ q. Therefore, they also produce intergers or decimal values upon evaluation.

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.

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 3/18.

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 = 3

Divisor = 18

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 = 3 $\div$ 18

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

3/18 Long Division Method

Figure 1

3/18 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 3 and 18, we can see how 3 is Smaller than 18, and to solve this division, we require that 3 be Bigger than 18.

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 3, which after getting multiplied by 10 becomes 30. We add a decimal “.” to indicate this multiplication by 10.

We take this 30 and divide it by 18; this can be seen done as follows:

 30 $\div$ 18 $\approx$ 1

Where:

18 x 1 = 18

We add 1 to our quotient. This will lead to the generation of a Remainder equal to 30– 18 = 12. Now this means we have to repeat the process by Converting the 12 into 120 and solving for that:

120 $\div$ 18 $\approx$ 6 

Where:

18 x 6 = 108

We add 6 to our quotient. This, therefore, produces another remainder which is equal to 120 – 108 = 12, the same as before. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 12 x 10 = 120.

120 $\div$ 18 $\approx$ 6 

Where:

18 x 6 = 108

We add 6 to our quotient. Finally, we have a Quotient generated after combining the three pieces of it as 0.166, with a final remainder equal to 12. This is a recurring, non-terminating decimal number as we would get the same remainder value for all the next division steps.

Images/mathematical drawings are created with GeoGebra.

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