# What Is 3/50 as a Decimal + Solution With Free Steps

**The fraction 3/50 as a decimal is equal to 0.06.**The

**fraction**is shown in

**p/q**form, with the

**division**line between

**p**and

**q**. The fraction’s

**p**is referred to as the

**numerator**, while its

**q**is referred to as the

**denominator**. We can convert fractions to

**decimal**values by applying the mathematical operation known as

**division**.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

**3/50**.

## 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 = 3**

**Divisor = 50**

**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 = 3 $\div$ 50**

**Long Division**solution to our problem.

### 3/50 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

**3**, and

**50**we can see how

**3**is

**Smaller**than

**50**, and to solve this division we require that 3 be

**Bigger**than 50.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

**3**, which after getting multiplied by

**10**becomes

**30**.Still, the dividend is less than the divisor, so we will multiply it by 10 again. For that, we have to add the

**zero**in the

**quotient**. So, by multiplying the dividend by

**10**twice in the same step and by adding

**zero**after the decimal point in the

**quotient**, we now have a dividend of

**300**.

*We take this*

**300**and divide it by**50**, this can be seen done as follows:** 300 $\div$ 50 = 6**

**50 x 6 = 300**

**Remainder**equal to

**300 – 300 = 0.**So, we have a

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

**0.06 = z**, with a

**Remainder**equal to

**0**.

*Images/mathematical drawings are created with GeoGebra.*