0.6667 Repeating as a Fraction
The repeating decimal 0.6667 is a familiar sight to many of us, but have you ever stopped to think about what it represents as a fraction? In this article, we'll explore how to convert 0.6667 into a fraction and what it means.
What is 0.6667?
0.6667 is a repeating decimal, also known as a recurring decimal. It's a decimal that has a sequence of digits that repeats indefinitely. In this case, the sequence is 6, which repeats forever.
Converting 0.6667 to a Fraction
To convert 0.6667 to a fraction, we can use a simple trick. Let's multiply 0.6667 by 10 to get:
10 x 0.6667 = 6.6667
Next, we'll subtract the original value from the new value:
6.6667 - 0.6667 = 6
Now, divide both sides by 9:
6 ÷ 9 = 2/3
0.6667 as a Fraction
So, 0.6667 repeating as a fraction is equal to 2/3. This fraction represents two equal parts out of a total of three equal parts.
What Does it Mean?
The fraction 2/3 represents a portion of a whole. Imagine you have a pizza that's divided into three equal slices. If you take two of those slices, you'll have 2/3 of the pizza.
In real-world applications, 2/3 can represent a variety of things, such as:
- A score of 2 out of 3 on a test
- 2 seconds out of 3 seconds in a timer
- 2 items out of 3 items in a set
Conclusion
In conclusion, 0.6667 repeating as a fraction is equal to 2/3. This fraction represents a simple yet important concept in mathematics, and it has many practical applications in our daily lives.
