What Is 36/52 as a Decimal + Solution With Free Steps
The fraction 36/52 as a decimal is equal to 0.692.
A decimal representation in which to the right of the decimal, a particular digit or sequence of digits repeats infinitely is called a repeating decimal. The fraction 36/52 is a repeating decimal fraction.
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 36/52.
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 = 52
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 $\div$ 52
This is when we go through the Long Division solution to our problem. The following figure shows the solution for fraction 36/52.
36/52 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 52, we can see how 36 is Smaller than 52, and to solve this division, we require that 36 be Bigger than 52.
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 52; this can be done as follows:
360 $\div$ 52 $\approx$ 6
52 x 6 = 312
This will lead to the generation of a Remainder equal to 360 – 312 = 48. Now this means we have to repeat the process by Converting the 48 into 480 and solving for that:
480 $\div$ 52 $\approx$ 9
52 x 9 = 468
This, therefore, produces another Remainder which is equal to 480 – 468= 12. Now this means we have to repeat the process by Converting the 12 into 120 and solving for that:
120 $\div$ 52 $\approx$ 2
52 x 2= 104
Finally, we have a Quotient generated after combining the three pieces of it as 0.692, with a Remainder equal to 16.
Images/mathematical drawings are created with GeoGebra.