What Is 36/45 as a Decimal + Solution With Free Steps
The fraction 36/45 as a decimal is equal to 0.8.
Fractions and Decimals are used to describe the quantity of anything precisely. Both refer to the same thing in one way or the other i.e. “the concept of part of the whole number”. Fraction notation of a quantity is represented as p/q e.g 1/4 and the same can be represented in decimal as 0.25.
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 36/45.
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 = 45
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 $\div$ 45
This is when we go through the Long Division solution to our problem. The following figure shows the long division:
36/45 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 45, we can see how 36 is Smaller than 45, and to solve this division, we require that 36 be Bigger than 45.
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 45; this can be done as follows:
360 $\div$ 45 = 8
45 x 8 = 360
Therefore, Remainder equal to 360 – 360 = 0. Now this means we stop solving this problem, we have a Quotient of it as 0.8=z, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.