# What Is 10/12 as a Decimal + Solution With Free Steps

The fraction 10/12 as a decimal is equal to 0.833.

Fraction is a number that is divided into even parts by another number. The fractions are expressed in the form of a/b, where “a” is the number being divided (numerator) and “b” is the number that is dividing (denominator) “a” into equal parts. Fractions can either give an integer answer or it can be an improper fraction where a < b. in our case, we are dealing with improper fractions

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 10/12.

## 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 = 12

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 $\div$ 12

This is when we go through the Long Division solution to our problem. Given below is the long division of fraction 12/25 in Figure 1:

Figure 1

## 10/12 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 12 we can see how 10 is Smaller than 12, and to solve this division we require that 10 be Bigger than 12.

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 10, which after getting multiplied by 10 becomes 100.

We take this 100 and divide it by 12, this can be seen done as follows:

100 $\div$ 12 $\approx$ 8

Where:

12 x 8 = 96

This will lead to the generation of a Remainder equal to 100 – 96 = 4, now this means we have to repeat the process by Converting the 4 into 40 and solving for that:

40 $\div$ 12 $\approx$ 3

Where:

12 x 3 = 36

This, therefore, produces another remainder which is equal to 40 – 36 = 4. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 40.

40 $\div$ 12 $\approx$ 3

Where:

12 x 3 = 36

Finally, we have a Quotient generated after combining the three pieces of it as 0.833, with a Remainder equal to 4.

Images/mathematical drawings are created with GeoGebra.