What is 5 11/16 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 11/16 to a decimal.
You can select other fractional values to familiarize yourself with the conversion guide.
Understanding the Fraction: 5 11/16
A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 5 11/16: 5 is an integer, 11 is the numerator, and 16 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 5 by the denominator 16, and add the numerator 11: (5 × 16 + 11). To get the value of the fraction, the numerator of 91 is divided by the denominator of 16.
Conversion formula (equation):
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.
To get the decimal of 5 11/16, 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 5 by the denominator 16, and plus the numerator 11.
- Step 2: Set up the division. Divide the numerator of 91 by the denominator of 16. This will look like the following: 91÷16.
- Step 3: Divide. Perform the division. If using a calculator, simply divide 91 by 16. If doing it manually, apply division.
- Step 4: Identify the decimal. The result of the division will be a decimal value. When 91 is divided by 16, the decimal obtained is 5.6875.
Rounding and Interpretation:
The decimal 5.6875 is recurring. Often, we round it to a desired number of decimal places for simplicity, such as 5.688. This rounded value is the decimal equivalent of the fraction 5 11/16.