Understanding Common Denominators

The video tutorial explains how to rewrite fractions with different denominators to have a common denominator. It emphasizes the importance of using multiples of the original denominators to achieve this. Visual aids are used to demonstrate how fractions can be converted by multiplying both the numerator and the denominator by the same number. The tutorial concludes by identifying common denominators for given fractions and highlights the benefits of using the least common denominator for easier calculations.

Why can't we choose any number as a common denominator for fractions?

• Because it must be a multiple of the denominators.

• Because it must be a prime number.

• Because it must be a multiple of the numerators.

• Because it must be an even number.

What happens when you multiply both the numerator and denominator of a fraction by the same number?

• The fraction becomes larger.

• The fraction becomes smaller.

• The fraction remains equivalent.

• The fraction becomes a whole number.

If you want to change the numerator of 1/4 to 2, what must you do to the denominator?

• Triple it.

• Double it.

• Keep it the same.

• Halve it.

What is the result of multiplying the numerator and denominator of 1/4 by 3?

• 3/12

• 3/4

• 1/12

• 4/12

If you split each part of 1/4 into three equal pieces, what is the new denominator?

• 12

• 8

• 6

• 10

What is the least common multiple of 4 and 6?

• 24

• 16

• 12

• 8

Which number is not a multiple of 6?

• 24

• 20

• 12

• 18

Why is it often preferable to use the least common denominator?

• It is the smallest possible number.

• It is the largest possible number.

• It is always a prime number.

• It makes calculations easier.

Which of the following is a common denominator for 1/4 and 5/6?

• 10

• 12

• 14

• 8

What is the benefit of using a common denominator when adding fractions?

• It makes the fractions larger.

• It simplifies the fractions.

• It changes the value of the fractions.

• It allows for direct addition of numerators.