What Is 6/59 as a Decimal + Solution With Free Steps

The fraction 6/59 as a decimal is equal to 0.1016994915.

Fractions are converted into Decimal values, and this conversion requires a Division operator. The upper part of the fraction is known as the Numerator, while the lower part of the fraction is referred to as the Denominator.

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,Â which we will discuss in detail moving forward. So, letâ€™s go through the Solution of fraction 6/59.

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 = 6

Divisor = 59

Now, we introduce the most important quantity in our division process: theÂ 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 $\div$ 59

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

Figure 1

6/59 Long Division Method

We start solving a problem using the Long Division Method by first taking apart the divisionâ€™s components and comparing them. As we have 6 and 59, we can see how 6 is Smaller than 59, and to solve this division, we require that 6 be Bigger than 59.

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.

We take this 60 and divide it by 59; this can be seen done as follows:

Â 60 $\div$ 59 $\approx$ 1

Where:

59 x 1 = 59

This will lead to the generation of a Remainder equal to 60 â€“ 59 = 1. Now this means we have to repeat the process by Converting the 1Â into 10.

Still, the dividend is less than the divisor, so we will multiply it by 10 again. For that, we have to add theÂ zeroÂ in theÂ quotient. So, by multiplying the dividend byÂ 10Â twice in the same step and by addingÂ zeroÂ after the decimal point in theÂ quotient, we now have a dividend of 100.

100 $\div$ 59 $\approx$ 1

Where:

59 x 1 = 59

Finally, we have a Quotient generated after combining the pieces of it as 0.101 = z, with a Remainder equal to 41.

Images/mathematical drawings are created with GeoGebra.