Multiplying and Simplifying Mixed Numbers

The video tutorial explains how to multiply signed mixed numbers by first converting them into improper fractions. It demonstrates the process of simplifying fractions by identifying common factors and then performing multiplication. The tutorial also covers converting the resulting improper fraction back into a mixed number. Two examples are provided to illustrate these steps, emphasizing the importance of handling negative numbers correctly.

What is the first step in multiplying signed mixed numbers?

• Multiply the numerators

• Divide the denominators

• Convert them to improper fractions

• Add the whole numbers

How do you convert -2 and 3/4 to an improper fraction?

• -10/3

• -11/4

• -8/3

• -9/4

What common factor is used to simplify the fractions in the first example?

• 4

• 5

• 3

• 2

What is the product of -14 and 4 in the first example?

• -56

• -60

• -52

• -58

What is the mixed number form of the product in the first example?

• -12 and 1/5

• -11 and 2/5

• -10 and 2/5

• -11 and 1/5

In the second example, what is the improper fraction for -3 and 3/4?

• -14/3

• -15/4

• -13/4

• -12/3

What common factor is used to simplify the fractions in the second example?

• 5

• 3

• 2

• 4

What is the product of -5 and -3 in the second example?

• 20

• 15

• 10

• 25

What is the denominator of the product in the second example?

• 2

• 3

• 4

• 5

What is the mixed number form of the product in the second example?

• 23 and 1/2

• 21 and 1/2

• 24 and 1/2

• 22 and 1/2