.6667 as a Fraction in Simplest Form
When we see a decimal number like .6667, it's natural to wonder what it would look like as a fraction. In this article, we'll explore how to convert .6667 into its simplest form as a fraction.
Converting .6667 to a Fraction
To convert .6667 to a fraction, we can use the following steps:
- Divide the decimal number by the place value of the last digit (in this case, 7).
- Write the result as a fraction.
Let's do this:
.6667 ÷ 10000 = 6667/10000
Simplifying the Fraction
Now that we have our fraction, let's simplify it:
6667/10000 = 2/3
Yes, you read that right! .6667 as a fraction in simplest form is equal to 2/3.
Why This Works
So, why does this converting process work? It's because the decimal .6667 is a repeating decimal, which means it has an infinite number of 6's after the decimal point. When we convert it to a fraction, we're essentially finding the ratio of the repeating part (6) to the number of decimal places it repeats (1).
In this case, the ratio is 2:3, which simplifies to 2/3.
Conclusion
In conclusion, .6667 as a fraction in simplest form is 2/3. By following the steps outlined above, we can convert any decimal number to its simplest form as a fraction.
