What is 80 9/20 as a decimal?

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 80 9/20 to a decimal.

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

Often, convert 75 1/8 to a decimal or 87 1/2 to a decimal, depending on the task.

Understanding the Fraction: 80 9/20

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 80 9/20: 80 is an integer, 9 is the numerator, and 20 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 80 by the denominator 20, and add the numerator 9: (80 × 20 + 9). To get the value of the fraction, the numerator of 1609 is divided by the denominator of 20.

Conversion formula (equation):

80920=80 × 20 + 920=160920=80.45

Solution:

80920 = 80.45

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 80 9/20, 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 80 by the denominator 20, and plus the numerator 9.
  2. Step 2: Set up the division. Divide the numerator of 1609 by the denominator of 20. This will look like the following: 1609÷20.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 1609 by 20. If doing it manually, apply division.
  4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 1609 is divided by 20, the decimal obtained is 80.45.