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What Is 36/90 as a Decimal + Solution With Free Steps

The fraction 36/90 as a decimal is equal to 0.4.

A method that is frequently used
for the conversion of a fraction into a corresponding decimal number is
referred to as the Long Division method. Some fractions upon division give zero
remaining value and are said to be divided completely.

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 36/90.

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 = 90

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 $\div$ 90

This is when we go through the Long Division solution to our problem, as depicted below in figure 1.

36/90 Long Division Method

Figure 1

36/90 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 90, we can see how 36 is Smaller than 90, and to solve this division, we require that 36 be Bigger than 90.

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 90; this can be done as follows:

 360 $\div$ 90 $\approx$ 4

Where:

90 x 4 = 360

This will lead to the generation of a Remainder equal to 360 – 360  = 0.

So, fraction has been divided, and we have a Quotient generated as 0.4=z, with a Remainder equal to 0.Pie Chart 36 by 90 Long Division Method

Images/mathematical drawings are created with GeoGebra.

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