What Is 29/36 as a Decimal + Solution With Free Steps

The fraction 29/36 as a decimal is equal to 0.8055555555.

A form of p/q can be used to represent a Fraction. The line known as the Division line separates p from q, where p stands for the Numerator and q for the Denominator. To make fractional quantities more clear, we transform them into Decimal values.

29 36 as a decimal

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.

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 29/36.


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 = 29

Divisor = 36

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 = 29 $\div$ 36

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

29/36 Long Division Method

Figure 1

29/36 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 29 and 36, we can see how 29 is Smaller than 36, and to solve this division we require that 29 be Bigger than 36.

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.

Now, we begin solving for our dividend 29, which after getting multiplied by 10 becomes 290.

We take this 290 and divide it by 36, this can be seen done as follows:

 290 $\div$ 36 $\approx$ 8


36 x 8 = 288

This will lead to the generation of a Remainder equal to 290 – 288 = 2, now this means we have to repeat the process by Converting the 2 into 20.

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 200.

200 $\div$ 36 $\approx$ 5


36 x 5 = 180

This, therefore, produces another remainder which is equal to 200 – 180 = 20.

Finally, we have a Quotient generated after combining the  pieces of it as 0.805= z, with a Remainder equal to 20.Pie Chart 29 by 36 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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