# What Is 11/15 as a Decimal + Solution With Free Steps

The fraction 11/15 as a decimal is equal to 0.733.

Mathematics concepts known as fractions have a denominator and a numerator. There are three sorts of fractions: proper, improper, and mixed fractions. Any value or number with equal components is represented as a fraction.

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 11/15.

## 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 = 11

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 = 11 $\div$ 15

This is when we go through the Long Division solution to our problem. The Long Division solution can be seen below in figure 1:

Figure 1

### 11/15 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 11, and 15 we can see how 11 is Smaller than 15, and to solve this division we require that 11 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 11, which after getting multiplied by 10 becomes 110.

We take this 110 and divide it by 15, this can be seen done as follows:

110$\div$ 15 $\approx$ 7

Where:

15 x 7 = 105

This will lead to the generation of a Remainder equal to 110 – 105 = 5, now this means we have to repeat the process by Converting the 5 into 50 and solving for that:

50 $\div$ 15 $\approx$ 3

Where:

15 x 3 = 45

This, therefore, produces another remainder which is equal to 50 – 45 = 5. Now we must solve this problem to Third Decimal Place for accuracy, so we repeat the process with dividend 50.

50 $\div$ 15 $\approx$ 3

Where:

15 x 3 = 45

Finally, we have a Quotient generated after combining the three pieces of it as 0.733 = z, with a Remainder equal to 5.

Images/mathematical drawings are created with GeoGebra.