# What Is 8/15 as a Decimal + Solution With Free Steps

**The fraction 8/15 as a decimal is equal to 0.533.**An alternative way to represent a fraction, which is easier to understand than the fraction is a

**Decimal**and is obtained by dividing components of the fraction. For example, the fraction of 8/10 can also be represented by a decimal number o.8.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

**8**

**/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 = 8**

**Divisor = 15**

**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 = 8 $\div$ 15**

**Long Division**solution to our problem. Long Division of

**8**by

**15**is given in the figure 1.

## 8/15 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

**8**, and

**15**we can see how

**8**is

**Smaller**than

**15**, and to solve this division we require that 8 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

**8**, which after getting multiplied by

**10**becomes

**80**.

*We take this*

**80**and divide it by**15**, this can be seen done as follows:** 80 $\div$ 15 $\approx$ 5**

**15 x 5 = 75**

**Remainder**equal to

**80**

**– 75 = 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 **

**15 x 3 = 45**

**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 **

**15 x 3 = 45**

**Quotient**generated after combining the three pieces of it as

**0.533 = z**, with a

**Remainder**equal to

**5**.

*Images/mathematical drawings are created with GeoGebra.*