Overview
This module introduces students to converting between fractions, decimals, and percentages for business mathematics. It focuses on practical methods and examples to express values in various forms.
Expressing Fractions as Decimals
- A fraction can be converted to a decimal by dividing the numerator by the denominator.
- Proper fractions (numerator < denominator) result in decimal values less than 1.
- Improper fractions (numerator ≥ denominator) may result in whole numbers or decimals greater than/equal to 1.
- Example: 3/4 = 0.75.
Expressing Fractions as Percentages
- To express a fraction as a percentage, divide the numerator by the denominator and multiply the result by 100.
- Example: 3/4 = 0.75 × 100 = 75%.
Expressing Decimals as Fractions
- Decimals can be written as fractions by using place value (tenths, hundredths, etc.).
- Example: 0.75 = 75/100, which simplifies to 3/4.
- Simplify the resulting fraction whenever possible.
Expressing Decimals as Percentages
- To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%).
- Example: 0.25 × 100 = 25%.
Expressing Percentages as Fractions
- Write the percentage over 100 and simplify the fraction if possible.
- Example: 60% = 60/100 = 3/5.
Expressing Percentages as Decimals
- Divide the percentage value by 100 or move the decimal point two places to the left.
- Example: 85% = 85 ÷ 100 = 0.85.
Key Terms & Definitions
- Fraction — A number that represents part of a whole, written as numerator/denominator.
- Decimal — A number that uses a decimal point to show values less than one.
- Percentage — A way of expressing a number as a part of 100, denoted by the symbol %.
- Numerator — The top number of a fraction, showing how many parts are taken.
- Denominator — The bottom number of a fraction, showing the total number of equal parts.
Action Items / Next Steps
- Practice converting between fractions, decimals, and percentages using class exercises.
- Complete supplementary worksheets on conversion methods.
- Review examples provided in the module before the next session.