What Is 12/15 as a Decimal + Solution With Free Steps

The fraction 12/15 as a decimal is equal to 0.8.

Converting a fraction into decimals is one of the ways of expressing the same quantity. Decimal numbers usually have two parts. One before the decimal point is called the whole number part and the one after is regarded as the fractional part.

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.

12 15 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 12/15.


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 = 12

Divisor = 15

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 = 12 $\div$ 15

This is when we go through the Long Division solution to our problem. The fraction 12/15 converted into decimal is given as:

12/15 Long Division Method

Figure 1

12/15 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 15 we can see how 12 is Smaller than 15, and to solve this division we require that 12 be Bigger than 15.

This is done by multiplying the dividend by 10 and checking whether it is bigger than the divisor or not. And 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 12, which after getting multiplied by 10 becomes 120.

We take this 120 and divide it by 15, this can be seen done as follows:

 120 $\div$ 15 = 8


15 x 8 = 120

This will lead to the generation of a Remainder equal to 120 – 120 = 0

The division will stop here as the remainder is equivalent to zero. Finally, we have a Quotient generated after the division as 0.8 with a Remainder equal to 0.

12 15 Quotient and Remainder

Images/mathematical drawings are created with GeoGebra.

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