What Is 20/80 as a Decimal + Solution With Free Steps
The fraction 20/80 as a decimal is equal to 0.25.
A Fraction can be divided into three types: proper fraction, improper fraction, and mixed fraction. The fractions are converted into decimal values because decimal values are more useful in mathematical problems.
The fraction under consideration is a proper fraction because 20 is smaller than 80.
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 20/80.
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 = 80
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 $\div$ 80
This is when we go through the Long Division solution to our problem. Figure 1 contains the solution for the given fraction.
20/80 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 80, we can see how 20 is Smaller than 80, and to solve this division, we require that 20 be Bigger than 80.
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 80; this can be done as follows:
200 $\div$ 80 $\approx$ 2
80 x 2 = 160
This will lead to the generation of a Remainder equal to 200 – 160 = 40. Now this means we have to repeat the process by Converting the 40 into 400 and solving for that:
400 $\div$ 80 = 5
80 x 5 = 400
As the remainder we obtain here is equal to zero, so long division stops here.
Finally, we have a Quotient generated after combining the three pieces of it as 0.25, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.