# What Is 2 3/8 as a Decimal + Solution With Free Steps

**The fraction 2 3/8 as a decimal is equal to 2.375.**

Fundamentally, a **fraction** is the ratio of two whole numbers, which are separated by the **dividing** line. The **numerator** is the term for the number above the line, and the **denominator** is the number below the line. Proper fractions, improper fractions, and mixed fractions are the three forms of fractions that are most common.

**Proper** **fractions** are the numbers in which the numerator is less than the denominator, whereas **improper** **fractions** are the numbers in which the numerator is more than the denominator. A **mixed** **fraction** is produced when a whole number and an improper fraction are combined.

We utilize a technique known as the **Long** **Division** method to solve a fraction and obtain the result in decimal values. We can convert a mixed fraction of **2 3/8** to a decimal value by using the **long** **division** technique.

## Solution

We must first turn this mixed fraction into an improper fraction before we can begin to solve the problem. The denominator **8** is multiplied by the whole number **2** and the result is then added to the numerator. As a result, the fraction we now have is **19/8**.

The **Dividend** and the **Divisor** are two terms that are necessary to understand. The numerator and denominator are referred to as the dividend and the divisor, respectively.

**Dividend = 19**

**Divisor = 8**

Now, by introducing a new term called **Quotient**, which is defined as the outcome of the intended division.

**Quotient = Dividend $\div$ Divisor = 19 $\div$ 8**

Using the long division method, the problem can now be resolved as follows:

Figure 1

## 19/8 Long Division Method

This is how to use the **long** **division** method to solve the fraction step-by-step.

The fraction we had:

**19 $\div$ 8 **

We can divide both terms directly because the numerator **19** is greater than the denominator **8**.

Another division-specific term is used in the long division method, which is known as the **Remainder**. It is the remaining number after the division.

**19 $\div$ 8 $\approx$ 2**

Where:

**8 x 2 = 16 **

After this step, the **Remainder** we have is **3**.

The **Decimal** **point** must now be added because the **remainder** is now smaller than the divisor. We can proceed with our solution by adding a decimal point to the **quotient** and then adding a **zero** to the **right** of the **remainder**.

So by doing this, the **remainder** we have is **30**.

**30 $\div$ 8 $\approx$ 3 **

Where:

** 8 x 3 = 24 **

This results in the **Remainder** being equal to **6**. As adding another **zero** to its **right** will result in **60**, we must determine the following to solve to three **decimal places:**

**60 $\div$ 8 $\approx$ 7**

Where:

**8 x 7 = 56 **

For the fraction **2 3/8,** the **Quotient** is **2.37** with a **Remainder** of **4**.

*Images/mathematical drawings are created with GeoGebra.*