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To convert fractions to decimals, you need to understand the relationship between the numerator and the denominator. A fraction represents a part of a whole. Here, the numerator is the top number, and the denominator is the bottom number.
For example, let's take the fraction given in the exercise: \(\frac{9}{100}\). Here, 9 is the numerator, and 100 is the denominator.
The process of converting this fraction to a decimal is really about understanding division. When you divide the numerator by the denominator: \( 9 \div 100 = 0.09 \).
So, \( \frac{9}{100} = 0.09 \). This process can be applied to any fraction where the numerator is being divided by the denominator.

Place value is crucial when converting and understanding decimals. Place value tells you the value of each digit in a number based on its position. In the decimal number system, each place value is ten times the value of the place to its right.
In the exercise's solution, the decimal number is 0.09. Here’s what each digit represents:
- The digit 0 before the decimal point is in the units place. It means 'zero units'.
- The first digit after the decimal point is in the tenths place. It means 'zero tenths'.
- The second digit after the decimal point is in the hundredths place. It means 'nine hundredths'.
So, 0.09 literally means nine parts out of 100.
This understanding makes it easier to visualize and work with numbers in decimal form.

Basic arithmetic is the foundation for dealing with fractions and decimals. It includes the basic operations: addition, subtraction, multiplication, and division.
When converting the fraction \(\frac{9}{100}\) to a decimal, division is the key operation. We divide 9 by 100 to get 0.09.
Understanding division in this context is important because it helps in converting not just simple fractions, but more complex ones too. For instance, in the same way, \( \frac{1}{2} = 0.5 \) because 1 divided by 2 equals 0.5.
Knowing your basic operations makes these conversions straightforward and helps in solving many everyday math problems.
So always be sure to practice and understand these basic arithmetic operations as they are used frequently in various math problems and real-life situations.