Multiplying Fractions with Mixed Numbers

Multiplying Fractions with Mixed Numbers

8-7 Envison Lesson

How do we change a mixed number into an improper fraction?

Multiple Choice

How do we change a mixed number into an improper fraction?

Choose the correct order.

• We add the numerator and subtract the denominator

• we multiply the whole number by the denominator and then add the numerator

• We add the denominator and the whole number together and then we divide the numerator

Multiple Choice

Change this mixed number into an improper fraction.

• 5/3

• 6/3

• 16/3

• 15/3

Throwback!

How do we multiply fractions?

Multiple Choice

How do we multiply fractions?

• cross multiply and divide

• multiply right next door

• only multiply the numerators

• only multiply the denominators

What happens when...

A mixed number is multiplied by a fraction?

What should we do?

1. We need to change the mixed number into an improper fraction.

Remember, we multiply the Whole Number by the denominator, and then we add the numerator. Remember to keep the origninal denominator!

Multiple Choice

Change the mixed number into an improper fraction.

Choose the correct answer.

• 15/8

• 16/8

• 7/8

1. Change the mixed number into an improper fraction.

2. Multiply the two new fractions

Multiply Right Next Door

Let's multiply the numerators first

Multiple Choice

 $15\times8$  
Stack the numbers up and find the product

• 120

• 80

• 165

Multiple Choice

 $8\times3$  
Find the product of our denominators

• 5

• 11

• 24

If 120 is the product of our numerators and 24 is the product of our denominators, what will our answer look like?

Multiple Choice

Solve

• $\frac{120}{24}$

• $120-24$

• $\frac{24}{120}$

• 24+120

Multiplying Fractions with Mixed Numbers

• 1. Change the mixed number into an improper fraction

• 2. Multiply the two fractions together...right next door

• 3. Write out the answer/product as a fraction

Let's Look at another one!

Get your notes ready!

Multiple Choice

 $2\frac{1}{4}\times\frac{2}{3}$ 
 

•  $\frac{45}{5}$  

•  $\frac{18}{12}$  

•  $\frac{2}{12}$  

Multiple Choice

What if...

 $\frac{5}{7}\times3\frac{1}{2}$  

•  $\frac{35}{14}$  

•  $\frac{11}{14}$  

•  $\frac{5}{14}$  

Let's talk.

What would we do to solve this problem?

Multiplying a Mixed number by another mixed number

Follow the same steps

• Change both mixed numbers into improper fractions

• Multiply right next door

• Simplify

Change this mixed number into an improper fraction

• Which two numbers get multiplied together?

Multiple Choice

Change this mixed number into an improper fraction

• $\frac{11}{6}$

• $\frac{6}{6}$

• $\frac{12}{6}$

Multiple Choice

change this mixed number into an improper fraction

• $\frac{2}{8}$

• $\frac{9}{2}$

• $\frac{8}{2}$

Once we have two fractions we can multiply right next door

11 x 9 and 6 x 2

Multiple Choice

Solve this multiplication problem

• $\frac{99}{8}$

• $\frac{11}{24}$

• 
  $\frac{99}{12}$

Poll

Do you think you can solve some of these problems on your own using your notes? Be Honest!!

• Yes!

• Maybe!

• I can try!

• No, I don't get it :(

Multiple Choice

Multiply.

• $\frac{4}{14}$

• $\frac{23}{5}$
  

• $\frac{2}{14}$
  

• $\frac{322}{14}$

Multiple Choice

Multiply.

• $\frac{1}{10}$
  

• $\frac{85}{20}$

• $\frac{55}{20}$

Multiple Choice

Multiply.

• 
  

  $\frac{5}{6}$

• $\frac{77}{6}$
  

• $\frac{6}{77}$