What Is 1/33 as a Decimal + Solution With Free Steps

The fraction 1/33 as a decimal is equal to 0.0303.

The division is the most fundamental arithmetic operation. In this operation, a bigger number is divided by a smaller number to break it into fractions. When the divisor completely divides the dividend, it gives a whole number quotient otherwise it produces a decimal quotient.

Here, we are interested more in the types of division that results 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.

1 33 as a decimal

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 1/33.

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 = 1

Divisor = 33

Now, we introduce the most important quantity in our process of division, this is 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 = 1 $\div$ 33

This is when we go through the Long Division solution to our problem. See the solution of fraction 1/33 in the figure given below.

1/33 Long Division Method

Figure 1

1/33 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 1, and 33 we can see how 1 is Smaller than 33, and to solve this division we require that 1 be Bigger than 33.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If it is then we calculate the Multiple of the divisor which is closest to the dividend and subtract it from the Dividend. This produces the Remainder which we then use as the dividend later.

When the dividend 1 is multiplied by 10, it becomes 10 which is a smaller number than 33. To make division possible we multiply 10 by 10 again to get 100. This requires putting a zero after the decimal point in the quotient.

Now, we begin solving for our dividend 1, which after getting multiplied by 100 becomes 100.

We take this 100 and divide it by 33, this can be seen done as follows:

 100 $\div$ 33 $\approx$ 3

Where:

33 x 3 = 99

This will lead to the generation of a Remainder equal to 100 – 99 = 1, now this means we have to repeat the process by Converting the 1 into 100 by adding a zero in the quotient and solving for that:

100 $\div$ 33 $\approx$ 3 

Where:

33 x 3 = 99

Finally, we have a Quotient generated after combining the four pieces of it as 0.0303, with a Remainder equal to 1.

1 by 33 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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