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

**The fraction 3 3/8 as a decimal is equivalent to 3.375.**

**Fractions** are classified into three categories: mixed fraction, proper fraction, and improper fraction. For the conversion of any specified fraction into a decimal, it is necessary to first identify the type of the fraction.

A fraction is said to be **improper** when its numerator is is either equal to or greater than the denominator. Similarly, a fraction is said to be a **proper **function when the numerator is less than the denominator.

**Mixed fractions**, on the other hand, are a combination of a whole number and a proper fraction. The fraction 3 3/8 is considered a mixed fraction because it consists of the whole number 3 along with a proper fraction 3/8.

Now that we have identified our fraction, let’s dive into its detailed solution through the **Long Division Method.**

## Solution

The given fraction 3 3/8 is a **mixed fraction**, so before proceeding toward the solution, it is first necessary to convert this mixed fraction into an improper fraction. For this purpose, firstly multiply the denominator 8 with the whole number 3.

Upon multiplying the 3 and 8, the result obtained is 24. Now add this number to the numerator to obtain an **improper fraction**. Hence, the improper fraction obtained after solving the mixed fraction is 27/8.

Before diving into the detailed solution, let’s take a look at some basic division terminology. For long division, the denominator of the fraction is referred to as the **“Divisor” **and the numerator is referred to as the **“Dividend”.** The result obtained is called** “Quotient.” **he

**Dividend = 27**

**Divisor = 8**

This division can be represented as follows:

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

Another term used in the division is known as the **“Remainder” **and it is the number that is left when the division process comes to an end.

The long division process for 27/8 is shown below:

## 3 3/8 by Long Division

The long division method is used to convert 3 3/8 into a **decimal form.** Before moving onto the division, 3 3/8 is reduced to an improper fraction, 27/8. Now, we will carry the division of 27/8.

**27 $\div$ 8 **

Since the dividend is greater than the divisor, so the two numbers can be divided.

**27 $\div$ 8 $\approx$ 3**

Where:

**3 x 8 = 24**

So after the first division step, a **remainder of 3** is obtained. Now 3 will act as the dividend and since 3 is less than the divisor, so we will add a decimal point to insert an additional zero into the dividend. This converts 3 into 30.

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

Where:

**3 x 8 = 24**

So, **6** is obtained as the** remainder.** Adding an additional zero into the dividend:

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

Where:

**8 x 7 = 56**

Now, a **remainder of 4** is obtained. Again adding a zero into the dividend:

**40 $\div$ 8 = 5 **

This produces a remainder of** zero,** which marks the end of the division process. Thus, the **quotient of 3 3/8 is 3.375.**

*Images/mathematical drawings are created with GeoGebra. *