To convert a mixed number like 6 7/8 to a decimal, you need to convert the fraction part (7/8) to a decimal and then add it to the whole number part (6).
To convert 7/8 to a decimal, divide the numerator (7) by the denominator (8):
7 ÷ 8 = 0.875
Now, add the whole number part (6) to the decimal part (0.875):
6 + 0.875 = 6.875
So, 6 7/8 as a decimal is 6.875.
Here is the article with the first section:
Mixed numbers are a combination of a whole number and a fraction. They are commonly used in everyday life, especially when measuring quantities like length, weight, and time. However, when it comes to calculations, decimals are often more convenient and easier to work with. That's why converting mixed numbers to decimals is an essential math skill.
In this article, we'll explore how to convert mixed numbers to decimals, including the example of 6 7/8. We'll break down the steps and provide a clear explanation, along with examples and practical applications.
Converting mixed numbers to decimals can seem daunting at first, but with practice and understanding of the concept, it becomes a straightforward process. So, let's dive in and learn how to convert 6 7/8 to a decimal.
Understanding Mixed Numbers
A mixed number is a combination of a whole number and a fraction. It consists of three parts: the whole number, the numerator (the top number of the fraction), and the denominator (the bottom number of the fraction). For example, in the mixed number 6 7/8, the whole number is 6, the numerator is 7, and the denominator is 8.
Why Convert Mixed Numbers to Decimals?
Converting mixed numbers to decimals has several advantages. Decimals are often easier to work with in calculations, especially when using calculators or computers. Decimals can also provide a more precise representation of quantities, making them useful in applications like science, engineering, and finance.
Let's take a look at the steps to convert a mixed number to a decimal.
Steps to Convert a Mixed Number to a Decimal
To convert a mixed number to a decimal, follow these steps:
- Convert the fraction part to a decimal by dividing the numerator by the denominator.
- Add the whole number part to the decimal part.
Using the example of 6 7/8, we can follow these steps:
Converting 6 7/8 to a Decimal
- Convert the fraction part (7/8) to a decimal by dividing the numerator (7) by the denominator (8):
7 ÷ 8 = 0.875
- Add the whole number part (6) to the decimal part (0.875):
6 + 0.875 = 6.875
Therefore, 6 7/8 as a decimal is 6.875.
We'll continue the article with more examples and practical applications of converting mixed numbers to decimals. Stay tuned!
Please let me know when to proceed with the next section.