Multiplying Mixed Numbers and Fractions

This lesson, aimed at fifth graders, covers the comparison of mixed number factors and products. It introduces four rules: the identity property, multiplying mixed numbers by whole numbers greater than one, multiplying by fractions, and multiplying by other mixed numbers. Each rule is explained with examples, and students are given practice problems to reinforce their understanding.

What is the result when a mixed number is multiplied by one?

• The product is zero.

• The product is a fraction.

• The product is the same mixed number.

• The product is a whole number.

If you multiply a mixed number by a whole number greater than one, what can you say about the product?

• The product is equal to the mixed number.

• The product is greater than the mixed number.

• The product is a fraction.

• The product is less than the mixed number.

What is the result of multiplying a mixed number by a whole number greater than one?

• The product is equal to the mixed number.

• The product is less than the mixed number.

• The product is greater than the mixed number.

• The product is a fraction.

When a mixed number is multiplied by a fraction, how does the product compare to the original numbers?

• The product is equal to the mixed number.

• The product is less than the mixed number but greater than the fraction.

• The product is greater than both the mixed number and the fraction.

• The product is less than both the mixed number and the fraction.

If you multiply a mixed number by a fraction, what can you say about the product?

• The product is less than the mixed number but greater than the fraction.

• The product is less than both the mixed number and the fraction.

• The product is greater than both the mixed number and the fraction.

• The product is equal to the mixed number.

What happens when you multiply a mixed number by another mixed number?

• The product is equal to one of the factors.

• The product is less than both factors.

• The product is greater than both factors.

• The product is a fraction.

What happens when you multiply a mixed number by another mixed number?

• The product is less than both factors.

• The product is a fraction.

• The product is equal to one of the factors.

• The product is greater than both factors.

Using the identity property, what is the result of multiplying 1 by 2 and 1/2?

• 1

• 3

• 2

• 2 and 1/2

If you multiply 3 by 2 and 1/2, what can you say about the product?

• The product is less than 2 and 1/2.

• The product is equal to 2 and 1/2.

• The product is greater than 2 and 1/2.

• The product is a fraction.

What is the result of multiplying 3/5 by 2 and 2/5?

• The product is a whole number.

• The product is greater than 2 and 2/5.

• The product is less than 2 and 2/5 but greater than 3/5.

• The product is equal to 3/5.