What is 3 3/8 as a decimal?

So, in mathematics, converting fractions to decimals is common. Let's walk through the process of converting a fraction 3 3/8 to a decimal.

You can select other fractional values to familiarize yourself with the conversion guide.

Often, convert 3 7/20 to a decimal or 17/5 to a decimal, depending on the task.

What is 3 3/8?

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 3 3/8: 3 is an integer, 3 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 3 by the denominator 8, and add the numerator 3: (3 × 8 + 3). To get the value of the fraction, the numerator of 27 is divided by the denominator of 8.

Conversion formula (equation):

338=3 × 8 + 38=278=3.375


338 = 3.375

What is a fraction?

A fraction is a mathematical expression of two parts: the numerator on top and the denominator below. It represents partial values, showcasing relationships or comparisons.

What is a decimal?

A decimal is a numeral system with a point. This point divides the integer from its fractional part. It provides a straightforward way to express and work with values less than one.

Conversion Steps:

To get the decimal of 3 3/8, follow these steps:

  1. Step 1: Representing an improper fraction. Let's start by converting a mixed fraction to an improper fraction. To achieve this, we multiply the integer 3 by the denominator 8, and plus the numerator 3.
  2. Step 2: Set up the division. Divide the numerator of 27 by the denominator of 8. This will look like the following: 27÷8.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 27 by 8. If doing it manually, apply division.
  4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 27 is divided by 8, the decimal obtained is 3.375.