What is 5 1/6 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 5 1/6 to a decimal.

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

Often, convert 5 5/32 to a decimal or 5 3/16 to a decimal, depending on the task.

Understanding the Fraction: 5 1/6

A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 5 1/6: 5 is an integer, 1 is the numerator, and 6 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 5 by the denominator 6, and add the numerator 1: (5 × 6 + 1). To get the value of the fraction, the numerator of 31 is divided by the denominator of 6.

Conversion formula (equation):

516=5 × 6 + 16=316=5.167


516 = 5.167

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 5 1/6, 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 5 by the denominator 6, and plus the numerator 1.
  2. Step 2: Set up the division. Divide the numerator of 31 by the denominator of 6. This will look like the following: 31÷6.
  3. Step 3: Divide. Perform the division. If using a calculator, simply divide 31 by 6. If doing it manually, apply division.
  4. Step 4: Identify the decimal. The result of the division will be a decimal value. When 31 is divided by 6, the decimal obtained is 5.1666666666667.

Rounding and Interpretation:

The decimal 5.1666666666667 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 5.167. This rounded value is the decimal equivalent of the fraction 5 1/6.