Operations with Fractions and Factors

This video tutorial explains the division of fractions by converting division problems into multiplication problems using the reciprocal of the divisor. It provides examples to illustrate the process and emphasizes the importance of simplifying fractions before multiplying. The tutorial also introduces the prime factorization method for simplification, offering a detailed approach to ensure results are in their simplest form.

What is another way to think about the division of 6 by 2?

• How many 2s are in 6

• What is 2 times 6

• What is 6 times 2

• How many 6s are in 2

How can every division problem be rewritten?

• As a subtraction problem

• As a division problem

• As a multiplication problem

• As an addition problem

When dividing by a fraction, what operation do we perform instead?

• Multiply by the reciprocal

• Divide by the reciprocal

• Add the reciprocal

• Multiply by the fraction

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

• 1

• 2

• 3

• 4

What should be done before multiplying fractions to ensure the result is in simplest form?

• Add the numerators

• Multiply directly

• Simplify common factors

• Subtract the denominators

In the example of 38 divided by 4/9, what is the first step?

• Multiply by 9/4

• Divide by 9/4

• Add 9/4

• Simplify directly

What is the prime factorization of 16?

• 8 * 2

• 4 * 4

• 16 * 1

• 2 * 2 * 2 * 2

What is the result of multiplying 7 by 1 in the example of 28 divided by 16/25?

• 12

• 7

• 28

• 16

What common factor do 28 and 16 share?

• 2

• 3

• 4

• 5

What is the denominator when multiplying 3 by 2 in the final example?

• 6

• 8

• 12

• 16