Multiplying and Simplifying Mixed Numbers

The video tutorial explains how to multiply a whole number by a mixed number. It begins by converting the mixed number into an improper fraction and then simplifies the product by identifying common factors. The tutorial also demonstrates how to express the result as a mixed number and uses a visual model to enhance understanding of the multiplication process. The final product is shown as both an improper fraction and a mixed number, providing a comprehensive understanding of the multiplication and simplification process.

What is the first step in multiplying a whole number by a mixed number?

• Add the whole number to the mixed number

• Divide the mixed number by the whole number

• Convert the whole number to a decimal

• Convert both numbers to improper fractions

How do you convert a mixed number to an improper fraction?

• Subtract the numerator from the whole number

• Add the whole number to the numerator

• Multiply the whole number by the denominator and add the numerator

• Divide the numerator by the denominator

What common factor is used to simplify the multiplication of 3 and 6?

• 4

• 2

• 5

• 3

What is the product of 3 times 2 5/6 as an improper fraction?

• 17/1

• 17/2

• 17/6

• 17/3

How do you convert the improper fraction 17/2 to a mixed number?

• Multiply 17 by 2

• Subtract 2 from 17

• Divide 17 by 2

• Add 17 and 2

What is the mixed number form of 17/2?

• 8 and 2/3

• 8 and 1/2

• 9 and 2/3

• 9 and 1/2

In the visual model, how many units are formed by combining 5/6 and 1/6?

• One unit

• Two units

• Three units

• Half a unit

What does the visual model show about the product of 3 times 2 5/6?

• It equals 9

• It equals 7 and 1/2

• It equals 10

• It equals 8 and 1/2

How many groups of 2 5/6 are represented in the visual model?

• Two groups

• One group

• Four groups

• Three groups

What is the equivalent of 3/6 in the visual model?

• One whole

• One quarter

• One third

• One half