What Is 21/50 as a Decimal + Solution With Free Steps
The fraction 21/50 as a decimal is equal to 0.42.
The fraction has another form known as a decimal in which they are represented as a simple number with a decimal point. The decimal form of a fraction can be found by implementing the long division method.
Here, we are interested more in the types of division that results 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 21/50.
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 seen done as follows:
Dividend = 21
Divisor = 50
Now, we introduce the most important quantity in our process of division, this is 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 = 21 $\div$ 50
This is when we go through the Long Division solution to our problem. Figure 1 provides the solution of the fraction 21/50.
21/50 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 21, and 50 we can see how 21 is Smaller than 50, and to solve this division we require that 21 be Bigger than 50.
This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. If it is then we calculate the Multiple of the divisor which is 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 21, which after getting multiplied by 10 becomes 210.
We take this 210 and divide it by 50, this can be seen done as follows:
210 $\div$ 50 $\approx$ 4
50 x 4 = 200
This will lead to the generation of a Remainder equal to 210 – 200 = 10, now this means we have to repeat the process by Converting the 10 into 100 and solving for that:
100 $\div$ 50 = 2
50 x 2 = 100
This, therefore, produces the remainder which is equal to 100 – 100 = 0.
Finally, we have a Quotient generated after combining the two pieces of it as 0.42, with a Remainder equal to 0.
Images/mathematical drawings are created with GeoGebra.