 # What Is 20/53 as a Decimal + Solution With Free Steps

The fraction 20/53 as a decimal is equal to 0.37735849.

The three forms of Fractions are proper fractions, improper fractions, and mixed fractions. Proper fractions have a numerator that is less than the denominator, while Improper fractions have a numerator that is greater than the denominator. A Mixed fraction is created by combining an improper fraction with a whole number. 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 20/53.

## 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 = 20

Divisor = 53

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 = 20 $\div$ 53

This is when we go through the Long Division solution to our problem. Figure 1

## 20/53 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 20 and 53, we can see how 20 is Smaller than 53, and to solve this division, we require that 20 be Bigger than 53.

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 20 which after getting multiplied by 10 becomes 200.

We take this 200 and divide it by 53; this can be done as follows:

200 $\div$ 53 $\approx$ 3

Where:

53 x 3 = 159

This will lead to the generation of a Remainder equal to 200 – 159 = 41. Now this means we have to repeat the process by Converting the 41 into 410 and solving for that:

410 $\div$ 53 $\approx$ 7

Where:

53 x 7 = 371

This, therefore, produces another Remainder which is equal to 410 – 371 = 39. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 390.

390 $\div$ 53 $\approx$ 7

Where:

53 x 7 = 371

Finally, we have a Quotient generated after combining the three pieces of it as 0.377=z, with a Remainder equal to 19. Images/mathematical drawings are created with GeoGebra.