Equivalent Fractions and Their Generation

This video tutorial teaches how to generate equivalent fractions by multiplying both the numerator and denominator by the same number. It demonstrates this process using examples with multipliers of two, three, and four, showing that equivalent fractions can be created by consistently applying the same multiplier to both parts of a fraction.

What is the primary method to generate equivalent fractions?

• Add the same number to both the numerator and denominator

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

• Subtract the same number from both the numerator and denominator

• Multiply the numerator by a different number than the denominator

If you multiply the numerator and denominator of 1/2 by 2, what is the resulting fraction?

• 1/4

• 2/4

• 2/3

• 3/4

Which of the following fractions is equivalent to 2/3 when both the numerator and denominator are multiplied by 2?

• 3/6

• 4/6

• 5/6

• 4/5

What is the equivalent fraction of 1/2 when both the numerator and denominator are multiplied by 3?

• 1/3

• 3/4

• 2/6

• 3/6

Which fraction is equivalent to 2/3 when both the numerator and denominator are multiplied by 3?

• 6/9

• 4/9

• 5/9

• 6/8

What is the equivalent fraction of 3/4 when both the numerator and denominator are multiplied by 3?

• 9/12

• 6/12

• 9/16

• 12/16

If you multiply the numerator and denominator of 1/2 by 4, what is the resulting fraction?

• 4/8

• 4/6

• 2/8

• 3/8

What is the equivalent fraction of 3/4 when both the numerator and denominator are multiplied by 4?

• 9/12

• 12/20

• 9/16

• 12/16