Equivalent Fractions and Their Generation

This video tutorial explains how to generate equivalent fractions by multiplying both the numerator and denominator by the same number. The instructor demonstrates this process using examples, multiplying fractions by two, three, and four, to show how different equivalent fractions can be generated. The key takeaway is that multiplying the numerator and denominator by the same number results in an equivalent 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 equivalent fraction?

• 3/4

• 2/3

• 1/4

• 2/4

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

• 5/6

• 4/5

• 4/6

• 3/6

When multiplying both the numerator and denominator of 1/2 by 3, what is the resulting fraction?

• 1/6

• 2/6

• 3/6

• 3/5

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

• 6/9

• 7/9

• 4/9

• 5/9

If you multiply the numerator and denominator of 3/4 by 3, what is the equivalent fraction?

• 9/16

• 9/12

• 6/16

• 6/12

What is the equivalent fraction of 1/2 when both the numerator and denominator are multiplied by 4?

• 5/8

• 2/8

• 3/8

• 4/8

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

• 12/16

• 9/16

• 8/16

• 10/16