Mastering Least Common Denominator Concepts

In this video tutorial, the teacher explains the concept of least common denominators, emphasizing the importance of focusing on denominators rather than simplifying fractions initially. Through various examples, the teacher demonstrates how to find the least common denominator by identifying the lowest common multiple of the denominators. The video includes practical examples and advanced exercises to reinforce the concept, concluding with a summary of the key points discussed.

Why is it important to focus on the denominators first when finding the least common denominator?

• It simplifies the fractions immediately.

• It helps in finding a common base for comparison.

• It reduces the fractions to their simplest form.

• It makes the numerators equal.

What is the least common denominator for the fractions 2/9 and 3/6?

• 36

• 24

• 18

• 12

To convert 2/9 to a fraction with a denominator of 18, what should you multiply both the numerator and denominator by?

• 4

• 6

• 3

• 2

What is the least common denominator for the fractions 6/6 and 4/4?

• 12

• 8

• 24

• 6

To convert 1/6 to a fraction with a denominator of 12, what should you multiply both the numerator and denominator by?

• 6

• 4

• 3

• 2

What is the least common denominator for the fractions 2/6 and 1/2?

• 24

• 8

• 6

• 12

To convert 1/2 to a fraction with a denominator of 6, what should you multiply both the numerator and denominator by?

• 4

• 6

• 3

• 2

What is the least common denominator for the fractions 6/8 and 3/8?

• 24

• 12

• 8

• 6

To convert 1/3 to a fraction with a denominator of 24, what should you multiply both the numerator and denominator by?

• 6

• 8

• 12

• 24

What is the least common denominator for the fractions 4/7 and 3/7?

• 28

• 21

• 35

• 14