What is 7 2/3 as a decimal? Tutorial in mathway.pro

Converting fractions to decimals is an essential skill. It bridges the gap between two numeric representations. In this guide, we will detail the process of converting the fraction 7 2/3 to a decimal.

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

Often, convert 7 5/8 to a decimal or 7 7/10 to a decimal, depending on the task.

Understanding the Fraction: 7 2/3

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 7 2/3: 7 is an integer, 2 is the numerator, and 3 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 7 by the denominator 3, and add the numerator 2: (7 × 3 + 2). To get the value of the fraction, the numerator of 23 is divided by the denominator of 3.

Conversion formula (equation):

$7 \frac{2}{3} = \frac{7 × 3 + 2}{3} = \frac{23}{3} = 7.667$

Solution:

$7 \frac{2}{3}$ = 7.667

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 7 2/3, follow these steps:

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 7 by the denominator 3, and plus the numerator 2.
Step 2: Set up the division. Divide the numerator of 23 by the denominator of 3. This will look like the following: 23÷3.
Step 3: Divide. Perform the division. If using a calculator, simply divide 23 by 3. If doing it manually, apply division.
Step 4: Identify the decimal. The result of the division will be a decimal value. When 23 is divided by 3, the decimal obtained is 7.6666666666667.

Rounding and Interpretation:

The decimal 7.6666666666667 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 7.667. This rounded value is the decimal equivalent of the fraction 7 2/3.

What is 7 2/3 as a decimal?