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Grasping the concept of converting fractions to decimals is a fundamental skill in mathematics, especially within prealgebra. To start, each fraction represents a division: the numerator (top number) being divided by the denominator (bottom number).

For example, to convert the fraction \(\frac{3}{8}\) into a decimal, you simply perform the division 3 ÷ 8. This results in 0.375. It's crucial to understand that this process of division turns the fraction into its decimal form, which shows the same amount in terms of parts per 10, 100, 1000, and so on, depending on the number of decimal places.

Once you have the fraction as a decimal, the next step is to convert it into a percentage. Percentage literally means 'per hundred,' so to convert a decimal to a percentage, you multiply it by 100.

This is the same as moving the decimal point two places to the right. For instance, with the decimal 0.375, multiplying by 100 gives us 37.5. Thus, \(\frac{3}{8}\) as a percentage is 37.5%. It is important to add the percentage sign to the number to indicate that the number is per 100.

Prealgebra involves basic numerical operations that form the building blocks for more complex mathematics. Beyond converting fractions to decimals and percentages, students should be comfortable with the four basic operations: addition, subtraction, multiplication, and division.

These operations are the foundation for understanding and solving algebraic expressions and equations. For example, when converting a fraction like \(\frac{3}{8}\) to a decimal (0.375), we use division. Then for converting that decimal to a percentage (37.5%), we use multiplication. Mastering these operations and understanding their applications can significantly improve mathematical thinking and problem-solving skills.