Understanding Equivalent Fractions

The video tutorial explains equivalent fractions, which are fractions with different numerators and denominators but the same value. It uses a fraction model to illustrate this concept and demonstrates how to find equivalent fractions by multiplying or dividing the numerator and denominator by the same number. Examples are provided to show how to generate equivalent fractions using both multiplication and division, emphasizing the importance of using common factors when dividing.

What are equivalent fractions?

• Fractions with the same numerators and denominators

• Fractions that are equal in value but have different numerators and denominators

• Fractions that are always greater than 1

• Fractions that cannot be simplified

In the visual model, what fraction is represented when one of two equal pieces is shaded?

• 2/3

• 1/2

• 1/4

• 1/3

How can you find an equivalent fraction to a given fraction?

• By adding the same number to the numerator and denominator

• By changing the numerator only

• By subtracting the same number from the numerator and denominator

• By multiplying or dividing the numerator and denominator by the same value

What is an equivalent fraction to 12/15 when both the numerator and denominator are multiplied by 2?

• 24/15

• 12/30

• 36/45

• 24/30

Which of the following is an equivalent fraction to 12/15 when both the numerator and denominator are multiplied by 3?

• 12/45

• 36/45

• 24/30

• 18/30

What is a common factor of 12 and 15 that can be used to find an equivalent fraction?

• 2

• 4

• 5

• 3

What is the equivalent fraction of 12/15 when both the numerator and denominator are divided by 3?

• 4/5

• 3/5

• 5/4

• 2/3

If you divide the numerator and denominator of 12/15 by 3, what is the resulting fraction?

• 5/6

• 4/5

• 2/3

• 3/4

How many equivalent fractions to 12/15 were found in the video?

• Four

• One

• Two

• Three

What is the process to find as many equivalent fractions as desired?

• Multiply or divide the numerator and denominator by any number

• Keep adding 1 to the numerator

• Multiply or divide the numerator and denominator by the same number

• Subtract 1 from the denominator