**What Is 3 1/8 as a Decimal + Solution With Free Steps**

**The fraction 3 1/8 as a decimal is equal to 3.125.**

**Fractions **are converted into **Decimal** values to make them easy to understand. Fractions can be classified into three types: improper fraction, proper fraction, and mixed fraction.

When the fraction has a numerator greater than the denominator, the fraction is known as an **Improper fraction**. When we have a numerator less than the denominator of the fraction, we call the fraction the **Proper fraction**. A **Mixed fraction** has a whole number along with an improper fraction.

To convert fractions into their decimal values, we have to use the mathematical operator called division. **The division** is one of the toughest mathematical operators among all. We can make this easier by using a method called the **Long Division **method.

**Solution**

We need to convert the given mixed fraction into desired **p/q** form. The **p** is referred to as the **Numerator**, while the **q** in the fraction is known as the **Denominator**.

To get the numerator from the mixed fraction, we will multiply the denominator by **8** with the whole number of **3** and will add **1** to it while the denominator remains the same. So now we have a fraction of **25/8**.

The key concepts used in the long division method are **Dividend** and **Divisor**. In the fraction representation of **p/q**, the p is referred to as the **dividend**, while the **q** in the fraction is known as the **divisor**. Here the dividend and divisor are:

**Dividend = 25**

**Divisor = 8**

The solution of the fraction in decimal form is referred to as the **Quotient**.

**Quotient = Dividend $ \div $ Divisor = 25 $ \div $ 8**

The **long** **division** method for the given fraction is as under:

Figure 1

**25/8 Long Division Method**

The fraction we have is:

**25 $ \div $ 8**

Here, we can directly divide the two numbers because the dividend is greater than the divisor.

Another key term used in the long division method is “**Remainder**.” It is the number that remains after the division of numbers that are not completely divisible.

**25 $ \div $ 8 $ \approx $ 3**

Where:

** 8 x 3 = 24**

For the **remainder,** we have **25 – 24 = 1**. The remainder is less than the divisor, so to proceed further, we need to add zero to the right side of the remainder. For that, we will add a **decimal** **point** to the quotient. By doing so, now we have a new remainder of **10**.

Now we will divide **10** by the divisor of **8**, and we will get:

**10 $ \div $ 8 $ \approx $ 1**

Where:

** 8 x 1 = 8**

We now have a **remainder** of **10 – 8 = 2**. Again, we will add zero to the right side of the remainder and we will get **20**.

**20 $ \div $ 8 $ \approx $ 2**

Where:

** 8 x 2 = 16**

Finally, we have a resulting **Quotient** of **3.12** with a **Remainder **of **4**.

*Images/mathematical drawings are created with GeoGebra.*