Operations with Mixed Numbers and Fractions

This video tutorial covers the processes of multiplying and dividing mixed numbers. It begins with an introduction to the topic, followed by detailed steps for converting mixed numbers to improper fractions, simplifying, multiplying, and converting back to mixed numbers. The tutorial includes examples to illustrate these steps. The division section follows a similar structure, emphasizing the conversion of division problems into multiplication problems using reciprocals. The video concludes with examples of dividing mixed numbers.

What is the first step in multiplying mixed numbers?

• Convert mixed numbers to improper fractions

• Multiply the whole numbers

• Add the numerators

• Divide the fractions

When multiplying mixed numbers, what should you do after converting to improper fractions?

• Divide the fractions

• Add the fractions

• Simplify if possible

• Subtract the fractions

In the example of multiplying 6 and 2/3 by 1/4, what is the simplified product?

• 8/5

• 7/3

• 6/4

• 5/3

What is the result of converting 68/3 to a mixed number?

• 21 and 2/3

• 22 and 2/3

• 23 and 1/3

• 24 and 1/3

What is the first step in dividing mixed numbers?

• Multiply the fractions

• Convert mixed numbers to improper fractions

• Subtract the fractions

• Add the fractions

How do you rewrite a division problem involving fractions?

• As a subtraction problem

• As a division problem using the reciprocal

• As an addition problem

• As a multiplication problem using the reciprocal

In the division example, what is the result of 25 divided by 8?

• 2 and 1/8

• 3 and 1/8

• 4 and 1/8

• 3 and 2/8

What is the reciprocal of 16/5?

• 1/16

• 16/5

• 5/16

• 5/1

In the example of dividing 1 and 7/8 by 1 and 2/3, what is the simplified product?

• 1 and 1/8

• 2 and 1/8

• 1 and 2/8

• 2 and 2/8

What is the common factor used to simplify 10 and 16 in the division example?

• 5

• 2

• 4

• 3