Understanding Division of Fractions

The video tutorial explains how to divide fractions by connecting models to algorithms. It starts with a simple example of dividing 2 by 1/3, showing that multiplying by the denominator gives the answer. The tutorial then explores more complex examples, such as 3/4 divided by 1/2 and 1/2 divided by 3/4, demonstrating the use of reciprocals in fraction division. The final example illustrates the algorithm of multiplying by the reciprocal of the second fraction, reinforcing the concept with visual models and calculations.

What is the result of dividing 2 by 1/3?

• 12

• 9

• 6

• 3

When dividing 3/4 by 1/2, what is the visual representation of the problem?

• 3 out of 4 divided by 1 out of 2

• 6 out of 8 divided by 4 out of 8

• 4 out of 8 divided by 6 out of 8

• 8 out of 6 divided by 2 out of 4

What is the result of 3/4 divided by 1/2?

• 3

• 2

• 1 and 1/2

• 1

How do you find the numerator of the quotient when dividing fractions?

• Add the numerators

• Multiply the first numerator by the second denominator

• Multiply the denominators

• Multiply the numerators

What is the reciprocal of 1/2?

• 2

• 1/2

• 1

• 2/1

What is the result of dividing 1/2 by 3/4?

• 2/3

• 4/3

• 3/2

• 1/3

What is the simplified form of 4/6?

• 3/4

• 1/2

• 2/4

• 2/3

What is the algorithm for dividing fractions?

• Multiply the fractions

• Subtract the fractions

• Multiply by the reciprocal of the second fraction

• Add the fractions

What is the result of 1/3 divided by 7/2?

• 1/7

• 3/14

• 7/3

• 2/21

What is the reciprocal of 7/2?

• 1/2

• 2/7

• 7/2

• 1/7