What Is 12/24 as a Decimal + Solution With Free Steps
The fraction 12/24 as a decimal is equal to 0.5.
When we divide a number p (the dividend) by another number q (the divisor), we get either a decimal or an integer value, depending on the values of p and q. We can show this process in the form of a fraction p/q, where p is now called the numerator and q is called the denominator.
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 12/24.
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 = 12
Divisor = 24
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 = 12 $\div$ 24
This is when we go through the Long Division solution to our problem.
Figure 1
12/24 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 12 and 24, we can see how 12 is Smaller than 24, and to solve this division, we require that 12 be Bigger than 24.
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 12, which after getting multiplied by 10 becomes 120.
We take this 120 and divide it by 24; this can be done as follows:
120 $\div$ 24 = 5
Where:
24 x 5 = 120
This will lead to the generation of a Remainder equal to 120 – 120 = 0. Thus, the division is complete and we have a Quotient of 0.5 with a final remainder equal to 0.
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