📚 View Lesson Summary & Study Guide
Main Learning Objective:
Understand ratios and proportions, and learn how to solve proportional equations when the variable is located in either the numerator or the denominator.
Key Takeaways:
- A ratio is a comparison of two quantities that can be expressed as a fraction, with a colon, with a division sign, or as a simplified number.
- A proportion is an equation stating that two ratios are equal.
- When a variable is in the numerator of a proportion, solve it by multiplying both sides by the denominator beneath the variable.
- When a variable is in the denominator, multiply both sides by the product of the other denominator and the variable to clear fractions.
- The Identity Property of Multiplication (e.g., 6/6 = 1) allows coefficients to simplify to '1', isolating the variable.