What is 8 7/8 as a decimal?

So, in mathematics, converting fractions to decimals is common. Let's walk through the process of converting a fraction 8 7/8 to a decimal.

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

Often, convert 8 17/20 to a decimal or 8 15/16 to a decimal, depending on the task.

What is 8 7/8?

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 8 7/8: 8 is an integer, 7 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 8 by the denominator 8, and add the numerator 7: (8 × 8 + 7). To get the value of the fraction, the numerator of 71 is divided by the denominator of 8.

Conversion formula (equation):

878=8 × 8 + 78=718=8.875


878 = 8.875

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 8 7/8, 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 8 by the denominator 8, and plus the numerator 7.
  2. Step 2: Set up the division. Divide the numerator of 71 by the denominator of 8. This will look like the following: 71÷8.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 71 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 71 is divided by 8, the decimal obtained is 8.875.