Solving Proportions and Ratios

The video tutorial explains how to solve proportions by clearing fractions. It introduces the concept of proportions and demonstrates two examples using the method of clearing fractions. The tutorial also provides alternative methods for solving the examples by simplifying the fractions first. The key steps involve finding the least common denominator, multiplying both sides of the equation, and simplifying to solve for the variable.

What is a proportion?

• A method to solve equations

• A type of fraction

• A statement that two ratios are equal

• A comparison of two numbers by division

What is the first step in solving a proportion by clearing fractions?

• Add the numerators

• Multiply both sides by the least common denominator

• Divide both sides by the greatest common factor

• Subtract the denominators

In the first example, what is the least common multiple of 9 and 15?

• 30

• 45

• 60

• 75

What is the simplified form of the ratio 5/15?

• 1/2

• 1/3

• 2/3

• 3/5

What is the result of solving the proportion X/9 = 1/3?

• X = 4

• X = 3

• X = 2

• X = 1

What is the least common multiple of 16 and 20 in the second example?

• 100

• 40

• 60

• 80

What is the simplified form of the ratio 4/16?

• 1/5

• 1/2

• 1/3

• 1/4

What is the result of solving the proportion 4/16 = X/20?

• X = 6

• X = 7

• X = 5

• X = 4

What is a common denominator for the second example if the least common denominator is not used?

• 320

• 160

• 400

• 240

What is the advantage of using the least common denominator over any common denominator?

• It requires more steps

• It is less accurate

• It makes the equation more complex

• It simplifies the process