To convert the decimal 0.09 into a fraction, start by recognizing that the number has two decimal places. This means that you can express it as:
0.09 = 9/100
Here’s how you arrive at this:
- Write down the number without the decimal: 9.
- Count the number of decimal places (which is 2 for 0.09) to determine your denominator as 100 (which is 10 raised to the power of the number of decimal places).
- Thus, you write it as a fraction: 9 over 100.
Now, you have the fraction 9/100, which is already in its simplest form as there are no common factors between 9 and 100. Therefore, 0.09 is equivalent to 9/100.