mathway.proWhat is 5 5/8 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 5/8 to a decimal.
You can select other fractional values to familiarize yourself with the conversion guide.
Often, convert 5 3/5 to a decimal or 5 16/25 to a decimal, depending on the task.
Understanding the Fraction: 5 5/8
A fraction is composed of two numbers: a numerator (top number) and a denominator (bottom number). In the fraction 5 5/8: 5 is an integer, 5 is the numerator, and 8 is the denominator. The first step is to represent the mixed fraction as an improper fraction. Multiply the integer 5 by the denominator 8, and add the numerator 5: (5 × 8 + 5). To get the value of the fraction, the numerator of 45 is divided by the denominator of 8.
Conversion formula (equation):
Solution:
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 5/8, 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 8, and plus the numerator 5.
- Step 2: Set up the division. Divide the numerator of 45 by the denominator of 8. This will look like the following: 45÷8.
- Step 3: Divide. Perform the division. If using a calculator, simply divide 45 by 8. If doing it manually, apply division.
- Step 4: Identify the decimal. The result of the division will be a decimal value. When 45 is divided by 8, the decimal obtained is 5.625.