Understanding Common Denominators

The video tutorial explains how to rewrite fractions with different denominators to have a common denominator. It discusses the importance of using multiples of the original denominators and demonstrates this concept using visual aids. The tutorial also covers how to choose appropriate common denominators, emphasizing the use of the least common denominator for simplicity in calculations.

What is the first step in rewriting fractions to have a common denominator?

• Add the numerators together.

• Select a multiple of the original denominators.

• Divide the fractions by the same number.

• Choose any random number as the new denominator.

Why is it important to use multiples of the denominators when finding a common denominator?

• To simplify the fractions.

• To change the numerators.

• To make the fractions larger.

• To ensure the fractions remain equivalent.

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

• Multiply it by 3.

• Divide it by 2.

• Multiply it by 2.

• Add 2 to it.

What happens to the number of pieces when you multiply the denominator by 3?

• The number of pieces is divided by 3.

• The number of pieces remains the same.

• The number of pieces is subtracted by 3.

• The number of pieces is multiplied by 3.

If you multiply the denominator of 1/4 by 4, what is the new fraction?

• 1/8

• 1/16

• 4/16

• 4/8

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

• 12

• 14

• 10

• 8

Which of the following is NOT a multiple of 4?

• 16

• 10

• 12

• 8

What is the least common denominator for the fractions 1/4 and 5/6?

• 16

• 12

• 24

• 18

Why might someone choose the least common denominator when working with fractions?

• It is a random choice.

• It changes the numerators.

• It makes calculations easier.

• It makes the fractions larger.

What is the benefit of using smaller numbers as denominators?

• They are more complex.

• They make fractions larger.

• They simplify calculations.

• They change the numerators.