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What Is 36/99 as a Decimal + Solution With Free Steps

The fraction 36/99 as a decimal is equal to 0.363.

Fraction is a term, representing two non-zero numbers as a ratio. On division of these non zero numbers, we get the solution of fraction. Division of Proper Fraction gives a solution less than 1, while that of Improper Fraction gives a solution grater than 1.

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 36/99.

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 = 36

Divisor = 99

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 = 36 $\div$ 99

This is when we go through the Long Division solution to our problem, which is illustrated in figure 1, given below.

36/99 Long Division Method

36/99 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 36 and 99, we can see how 36 is Smaller than 99, and to solve this division, we require that 36 be Bigger than 99.

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 36, which after getting multiplied by 10 becomes 360.

We take this 360 and divide it by 99; this can be done as follows:

 360 $\div$ 99 $\approx$ 3

Where:

99 x 3 = 297

This will lead to the generation of a Remainder equal to 360 – 297 = 63. Now this means we have to repeat the process by Converting the 63 into 630 and solving for that:

 630 $\div$ 99 $\approx$ 6

Where:

99 x 6 = 594

This, therefore, produces another Remainder which is equal to 630 – 594 = 36. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 360.

 360 $\div$ 99 $\approx$ 3

Where:

99 x 3 = 297

Finally, we have a Quotient generated after combining the three pieces of it as 0.363=z, with a Remainder equal to 63.Pie Chart 36 by 99 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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