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What Is 7/18 as a Decimal + Solution With Free Steps

The fraction 7/18 as a decimal is equal to 0.388.

In mathematics, a value between two whole numbers is
expressed in terms of decimal numbers. A decimal number is recognized by the
presence of a decimal point, which distinguishes its two portions, the whole
number portion, and the fractional part.

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.

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 7/18.

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 = 7

Divisor = 18

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 = 7 $\div$ 18

This is when we go through the Long Division solution to our problem. Complete details are given in figure 1.

Figure 1

7/18 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 7, and 18 we can see how 7 is Smaller than 18, and to solve this division we require that 7 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 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 7, which after getting multiplied by 10 becomes 70.

We take this 70 and divide it by 18, this can be seen done as follows:

70 $\div$ 18 $\approx$ 3

Where:

18 x 3 = 54

This will lead to the generation of a Remainder equal to 70 – 54 = 16, now this means we have to repeat the process by Converting the 16 into 160 and solving for that:

160 $\div$ 18 $\approx$ 8 

Where:

18 x 8 = 144

This, therefore, produces another remainder which is equal to 70 – 54 = 16. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 160.

160 $\div$ 18 $\approx$ 8 

Where:

18 x 8 = 144

Finally, we have a Quotient generated after combining the three pieces of it as 0.388 = z, with a Remainder equal to 16.

Images/mathematical drawings are created with GeoGebra.

Fractions to Decimals List

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