206.206 as a Fraction
In this article, we will explore how to convert the decimal number 206.206 to a fraction.
Converting Decimal to Fraction
To convert a decimal number to a fraction, we need to divide the decimal part by the power of 10 raised to the number of decimal places. In this case, we have two decimal places, so we will divide the decimal part by 100.
Step 1: Separate the Integer and Decimal Parts
First, let's separate the integer and decimal parts of the number:
206.206 = 206 + 0.206
Step 2: Convert the Decimal Part to a Fraction
Now, let's convert the decimal part to a fraction:
0.206 = 206/1000
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
0.206 = 103/500
Step 3: Combine the Integer and Fraction Parts
Now, let's combine the integer and fraction parts:
206.206 = 206 + 103/500
Final Answer
So, the decimal number 206.206 can be written as a mixed fraction:
206.206 = 206 103/500
We have successfully converted the decimal number 206.206 to a fraction!
