Exploring Common Denominators with Example Problems

In this video tutorial, the teacher introduces the concept of the least common multiple (LCM) and explains its importance in finding common denominators. The video provides two examples: a simple one and a more complex one, demonstrating how to calculate the LCM to find common denominators. The tutorial concludes with encouragement for students to practice the concepts learned.

What is the least common multiple (LCM) used for in the context of fractions?

• To find a common denominator

• To convert fractions to decimals

• To simplify fractions

• To find the greatest common divisor

In the first example, what is the LCM of 8 and 12?

• 16

• 24

• 32

• 48

How do you adjust the numerator of 1/8 after finding the common denominator of 24?

• Multiply by 6

• Multiply by 4

• Multiply by 3

• Multiply by 2

What is the next step after finding the common denominator in Example 1?

• Adjust the numerators

• Add the fractions

• Subtract the fractions

• Divide the numerators

In the second example, what is the LCM of 6 and 16?

• 32

• 24

• 64

• 48

How many times does 6 go into 48?

• 9 times

• 8 times

• 7 times

• 6 times

What is the adjusted numerator for 5/6 after finding the common denominator of 48?

• 35

• 30

• 45

• 40

What is the adjusted numerator for 3/16 after finding the common denominator of 48?

• 12

• 9

• 6

• 15

Why is it important to check the adjusted numerators after finding the common denominator?

• To add them together

• To convert them to decimals

• To verify they are equivalent to the original fractions

• To ensure they are simplified

What is the final step after adjusting the numerators and finding the common denominator?

• Simplify the fractions

• Convert to mixed numbers

• Add or subtract the fractions

• Multiply the fractions