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What Is 27/30 as a Decimal + Solution With Free Steps

The fraction 27/30 as a decimal is equal to 0.9.

A Decimal Fraction is a Proper Fraction whose denominator is a power of 10. e.g. 3\10, 3\100, 3\1000 are the decimal fractions here in these examples denominators of fractions having values of 10,  in the first fraction value of denominator is 10 with power 1, 2nd fraction denominator is 100 (10 with power 2), and 3rd fraction denominator is 1000( 10 with power 3).

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 27/30.

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 = 30

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 $\div$ 30

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

27/30 Long Division Method

Figure 1

27/30 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 30, we can see how 27 is Smaller than 30, and to solve this division, we require that 27 be Bigger than 30.

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 30; this can be done as follows:

 270 $\div$ 30 = 9

Where:

30 x 9 = 270

This will lead to the generation of a Remainder equal to 270 – 270 = 0. We have a Quotient as 0.9=z, with a Remainder equal to 0.

Images/mathematical drawings are created with GeoGebra.

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