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What Is 6/81 as a Decimal + Solution With Free Steps

The fraction 6/81 as a decimal is equal to 0.074074074.

A Fraction can be represented in the form of p/q. Where p represents the Numerator, while q represents the Denominator, both p and q are separated by the line known as the Division line. We convert fractional values into Decimal values to make them more understandable.

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 6/81.

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 = 6

Divisor = 81

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 = 6 $\div$ 81

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

6/81 Long Division Method

Figure 1

6/81 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 6 and 81, we can see how 6 is Smaller than 81, and to solve this division, we require that 6 be Bigger than 81.

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 6, which after getting multiplied by 10 becomes 60.

Still, the dividend is less than the divisor, so we will multiply it by 10 again. For that, we have to add the zero in the quotient. So, by multiplying the dividend by 10 twice in the same step and by adding zero after the decimal point in the quotient, we now have a dividend of 500.

We take this 600 and divide it by 81; this can be done as follows:

 600 $\div$ 81 $\approx$ 7

Where:

81 x 7 = 567

This will lead to the generation of a Remainder equal to 600 – 567 = 33. Now this means we have to repeat the process by Converting the 33 into 330 and solving for that:

330 $\div$ 81 $\approx$ 4

Where:

81 x 4 = 324

Finally, we have a Quotient generated after combining the pieces of it as 0.074=z, with a Remainder equal to 6.

6_81 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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