Mixed Numbers and Proportions

This video tutorial explains how to solve proportions by setting two fractions equal to each other. It introduces the method of clearing fractions, which involves multiplying both sides of the equation by the least common denominator. The tutorial provides two examples, demonstrating the process of solving proportions and converting improper fractions to mixed numbers. The first example uses denominators of 9 and 8, while the second example uses 4 and 6. The video emphasizes simplifying fractions and finding the least common multiple to solve equations effectively.

What is a proportion?

• A comparison of two numbers by division

• A product of two numbers

• A difference of two numbers

• A sum of two numbers

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

• Add the numerators

• Multiply both sides by the least common denominator

• Subtract the denominators

• Divide both sides by the greatest common factor

In the first example, what is the least common denominator of 9 and 8?

• 36

• 18

• 9

• 72

What is the improper fraction solution for the first example?

• 63/8

• 72/9

• 56/7

• 49/8

How do you convert 63/8 to a mixed number?

• Subtract 8 from 63 and express the difference over 8

• Add 8 to 63 and express the sum over 8

• Divide 63 by 8 and express the remainder over 8

• Multiply 63 by 8 and express the product over 8

What is the mixed number form of 63/8?

• 9 and 1/8

• 6 and 3/8

• 8 and 1/8

• 7 and 7/8

In the second example, what is the least common denominator of 4 and 6?

• 12

• 6

• 24

• 18

What is the improper fraction solution for the second example?

• 18/4

• 24/6

• 12/6

• 21/2

How do you convert 21/2 to a mixed number?

• Multiply 21 by 2 and express the product over 2

• Divide 21 by 2 and express the remainder over 2

• Subtract 2 from 21 and express the difference over 2

• Add 2 to 21 and express the sum over 2

What is the mixed number form of 21/2?

• 11 and 1/2

• 12 and 1/2

• 9 and 1/2

• 10 and 1/2