Multiplying Mixed Numbers

Multiply Mixed Numbers

Learning Goal: Use models, equations, and previously learned strategies to multiply mixed numbers.

What is a Mixed Number?

A number that is greater than one whole and is made of a whole number plus a fraction

Multiple Choice

Select the example of a mixed number below:

• $\frac{1}{2}$

  
  

• $\frac{10}{3}$
  

• $2\ \frac{1}{3}$
  

Multiplying Mixed Numbers

Step 1: Change each number to an improper fraction.

Step 2: Multiply the numerators and then the denominators.

Step 3: Convert back to mixed number

Step 4: Check to be sure the answer makes sense.

Finding Value of Numerical Expressions (PEMDAS)

• Step I: Simplify the operations inside grouping symbols. 

• Step II: Solve multiplication and division from left to right. 

• Step III: Solve addition and subtraction from left to right.

Multiple Choice

Change the mixed number below to an improper fraction.

 $2\ \frac{4}{5}$  

•  $\frac{14}{2}$  

•  $\frac{11}{5}$  

•  $\frac{14}{5}$  

Solve and Share Task

Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? To triple the recipe? 

                        Josie's Pancake Recipe

 $2\ \frac{1}{4}$  cups pancake mix
 1 egg
 $1\ \frac{2}{3}$  cups milk
 $\frac{3}{4}$  teaspoon vanilla

Solve and Share Task

Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? To triple the recipe? 

                        Josie's Pancake Recipe

 $2\ \frac{1}{4}$  cups pancake mix
 1 egg
 $1\ \frac{2}{3}$  cups milk
 $\frac{3}{4}$  teaspoon vanilla

Multiple Choice

 $2\ \frac{3}{4}\ \ \times\ \ 8$  

Solve this problem

• 22

•  $\frac{11}{4}$  

•  $\frac{8}{1}$  

Evaluating Numerical Expressions (PEMDAS)

• Step I: Simplify the operations inside grouping symbols. 

• Step II: Solve multiplication and division from left to right. 

• Step III: Solve addition and subtraction from left to right.

Introductory Task

What is the value of the expression shown below?

30- (5 + 7) x 2

SHARE YOUR THINKING!!!

Multiple Choice

What is the value of 3 (14-5) + 2?

• 29

• 27

• 33

Solve and Share

Kyra purchased a pack of 20 erasers. She kept 8 erasers and equally divided the rest among three friends. Which expression tells how many erasers each friend received?

Share your thinking!!!

Multiple Select

Which expression has the same value as (2 +3) x (3 + 1) ?

• (2 x 5) + (5 x 2)

• 3 + ( 2 x 1) + 3

• ( 2 x 3) + ( 3 + 1)