What Is 10/20 as a Decimal + Solution With Free Steps

The fraction 10/20 as a decimal is equal to 0.5.

Division is an operator that can be used to find the percentage of one number in another. There are two types, which will return either Integers or Decimals depending on whether it’s completed completely and without any remainder after dividing.

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.

10 20 as a decimal

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 10/20.

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 seen done as follows:

Dividend = 10

Divisor = 20

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 = 10 $\div$ 20

This is when we go through the Long Division solution to our problem. The following figure shows the detailed division:

10/20 Long Division Method

10/20 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 10, and 20 we can see how 10 is Smaller than 20, and to solve this division we require that 10 be Bigger than 20.

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 10, which after getting multiplied by 10 becomes 100.

We take this 100 and divide it by 20, this can be seen done as follows:

 100 $\div$ 20 = 5

Where:

20 x 5 = 100

This will lead to the generation of a Remainder equal to 100 – 100 = 0.

Finally, the above division concludes that the Quotient generated after division process is equivalent to 0.5, with a Remainder equal to 0.

10 by 20 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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