Multiplying Mixed Numbers and Fractions

Mrs. C explains how to multiply fractions and mixed numbers using four steps: converting mixed numbers to improper fractions, cross-canceling common factors, multiplying numerators and denominators, and simplifying the result. The video includes practice problems to reinforce the concepts.

What is the first step in multiplying a mixed number with a fraction?

• Multiply the whole number by the fraction.

• Convert the mixed number to an improper fraction.

• Simplify the fraction.

• Add the whole number and fraction parts.

How do you convert the mixed number 3 1/4 into an improper fraction?

• 7/4

• 9/4

• 13/4

• 12/4

What is cross-cancellation?

• Adding fractions before multiplying.

• Simplifying fractions after multiplying.

• Multiplying fractions directly without simplification.

• Simplifying fractions before multiplying by dividing common factors.

Which of the following pairs can be cross-cancelled?

• Numerator 7 and Denominator 9

• Numerator 5 and Denominator 6

• Numerator 4 and Denominator 8

• Numerator 3 and Denominator 5

After cross-cancelling, what is the next step in multiplying fractions?

• Add the numerators and denominators.

• Divide the numerators by the denominators.

• Multiply the numerators and denominators.

• Subtract the numerators from the denominators.

What is the result of multiplying 1/2 by 11/4?

• 7/8

• 11/8

• 5/8

• 3/8

How do you simplify the improper fraction 11/8?

• 1 5/8

• 2 3/8

• 2 5/8

• 1 3/8

What is the improper fraction form of 4 2/3?

• 12/3

• 10/3

• 14/3

• 16/3

In the final practice problem, what is the result of multiplying 15/8 by 12/5 after cross-cancellation?

• 9/2

• 11/2

• 7/2

• 5/2

What is the final simplified result of the multiplication 15/8 by 12/5?

• 2 1/2

• 4 1/2

• 3 1/2

• 5 1/2