Clearing Fractions and Proportions

This video tutorial explains how to solve proportions by clearing fractions. It introduces the concept of proportions, where two fractions or ratios are set equal to each other, and demonstrates solving them using the method of clearing fractions. The tutorial provides two examples, detailing the steps of multiplying both sides by the least common denominator, simplifying, and solving the resulting equation. The video aims to help viewers understand and apply this method effectively.

What is a proportion?

• A method to solve equations

• A statement that two ratios are equal

• A comparison of two numbers by division

• A type of fraction

Which method is used in the video to solve proportions?

• Substitution

• Cross-multiplication

• Graphical method

• Clearing fractions

What is the first step in clearing fractions from a proportion?

• Subtract the fractions

• Multiply both sides by the least common denominator

• Add the fractions

• Divide both sides by the least common denominator

In the first example, what is the least common denominator of 15 and X?

• 15

• X

• 15X

• 1

What is the result of simplifying 15/15 in the first example?

• 15

• 1

• X

• 0

What is the final solution for X in the first example?

• 60

• 45

• 30

• 15

In the second example, what is the least common denominator of X and 27?

• 27

• X

• 27X

• 1

What does 27/27 simplify to in the second example?

• 0

• 1

• X

• 27

What is the result of 27 * 4 in the second example?

• 81

• 108

• 54

• 72

What is the final solution for X in the second example?

• 12

• 15

• 18

• 9