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What Is 27/28 as a Decimal + Solution With Free Steps

The fraction 27/28 as a decimal is equal to 0.964.

Fractions are numerals of the form p/q, where p is called the numerator and q is called the denominator. The numerator and denominator are respectively equivalent to the dividend and divisor in the basic arithmetic operation of division.

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 27/28.

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 done as follows:

Dividend = 27

Divisor = 28

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 = 27 $\div$ 28

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

27/28 Long Division Method

Figure 1

27/28 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 27 and 28, we can see how 27 is Smaller than 28, and to solve this division, we require that 27 be Bigger than 28.

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 27, which after getting multiplied by 10 becomes 270.

We take this 270 and divide it by 28; this can be done as follows:

 270 $\div$ 28 $\approx$ 9

Where:

28 x 9 = 252

This will lead to the generation of a Remainder equal to 270 – 252 = 18. Now this means we have to repeat the process by Converting the 18 into 180 and solving for that:

180 $\div$ 28 $\approx$ 6 

Where:

28 x 6 = 168

This, therefore, produces another Remainder which is equal to 180 – 168 = 12. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 120.

120 $\div$ 28 $\approx$ 4 

Where:

28 x 4 = 112

Finally, we have a Quotient generated after combining the three pieces of it as 0.964, with a Remainder equal to 8.Pie Chart 27 by 28 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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