Learn to solve a proportion by mulitplying both sides by the LCD (4x+5)/5 = (2x+7)/7

The video tutorial explains how to solve proportions, emphasizing the importance of understanding when and why to use cross multiplication. It introduces the concept of using the least common denominator (LCD) to eliminate fractions in equations, providing a clear alternative to cross multiplication. The tutorial demonstrates the application of the distributive property and guides viewers through a step-by-step solution of a proportion problem using the LCD method.

What is a common mistake students make when solving proportions?

• Forgetting to divide by the numerator

• Applying cross multiplication incorrectly

• Using subtraction instead of addition

• Using addition instead of multiplication

Why is it important to understand when to use cross multiplication?

• It helps in solving all types of equations

• It is the only method to solve proportions

• It is a faster method than any other

• It ensures the correct application of mathematical operations

What is the least common denominator (LCD) used for in solving proportions?

• To divide fractions

• To eliminate fractions from an equation

• To convert fractions to decimals

• To add fractions

How does multiplying by the LCD relate to cross multiplication?

• It only works for even numbers

• It provides a reason for the operations in cross multiplication

• It is a completely different method

• It is a slower method

What is the final step in solving the proportion after applying the distributive property?

• Subtracting the denominators

• Multiplying the fractions

• Solving for the variable

• Adding the numerators