What is 7 17/20 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 7 17/20 to a decimal.

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

Often, convert 7 5/6 to a decimal or 7 7/8 to a decimal, depending on the task.

Understanding the Fraction: 7 17/20

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 7 17/20: 7 is an integer, 17 is the numerator, and 20 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 7 by the denominator 20, and add the numerator 17: (7 × 20 + 17). To get the value of the fraction, the numerator of 157 is divided by the denominator of 20.

Conversion formula (equation):

71720=7 × 20 + 1720=15720=7.85

Solution:

71720 = 7.85

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 17/20, 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 7 by the denominator 20, and plus the numerator 17.
  2. Step 2: Set up the division. Divide the numerator of 157 by the denominator of 20. This will look like the following: 157÷20.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 157 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 157 is divided by 20, the decimal obtained is 7.85.