Overview
This lecture explains how to multiply a decimal by a fraction, step-by-step, and highlights the key concepts and definitions involved.
Steps to Multiply a Decimal by a Fraction
- Change the decimal to a fraction by putting it over 1 if needed.
- Multiply the decimal by the numerator (top number) of the fraction.
- Divide the answer by the denominator (bottom number) of the fraction.
- The result from the previous step is the product.
Example
- For 0.6 × 3/4:
- Multiply 0.6 × 3 = 1.8
- Divide 1.8 ÷ 4 = 0.45
- Final answer: 0.45
Tips and Tricks
- Ensure you multiply before dividing; the order matters.
- Double-check placement of the decimal point when dealing with decimals.
- It may be helpful to convert the decimal to a fraction for more complex problems.
Key Terms & Definitions
- Decimal — A number with a decimal point, representing a part of a whole (e.g., 0.6).
- Fraction — A number showing part of a whole, with a numerator and denominator (e.g., 3/4).
- Numerator — The top part of a fraction, showing how many parts are being considered.
- Denominator — The bottom part of a fraction, showing the total number of equal parts.
Action Items / Next Steps
- Practice multiplying several decimals by fractions using this method.
- Review any homework or assigned textbook problems on multiplying decimals and fractions.