G5 Multiplying Mixed Numbers

Multiplying

Mixed Numbers

​5.NF.4

​A mixed number, also called a mixed fraction, has both a whole number and a fraction!

What are some examples of mixed numbers you might see outside school?

Vocabulary:

Mixed Number

Ricardo runs a bakery. He gets an order for 36 cookies. His recipe only tells him how to make 24 cookies. How will he make 36 cookies?

Mastery Question

Multiple Choice

Which of these is an example of a mixed number?

• 1 1/2

• 3/4

• 8

• .02

Vocabulary: Improper Fraction

Proper vs. Improper Fractions

A proper fraction is a fraction where the numerator is smaller than the denominator, like 1/2 or 3/4

To multiply mixed numbers, you will need to convert the mixed numberi into an improper fraction, which is when the numerator is BIGGER than the denominator, such as 10/7 or 9/3.

Multiple Choice

An IMPROPER fraction is when...

• The numerator (top) is BIGGER than the denominator (bottom)

• The numerator (top) is SMALLER than the denominator (bottom)

Convert the mixed number into an improper fraction.

Multiply the whole number by the denominator. Then, add that product to the numerator.

Convert

Multiply straight across:

Numerator x Numerator

Denominator x Denominator

Multiply

Now, convert the product to its simplest form.

If the numerator is higher than the denominator, that means there are whole numbers to find!

Simplify

Multiple Choice

Convert 2 1/2 into an improper fraction.

Multiply the whole number (2) by the denominator (2),

then add that to the numerator (1).

• 3/2

• 2 3/2

• 5/2

• 2/5

Multiple Choice

Convert 3 1/3 into an improper fraction

• 4/3

• 3/4

• 4 4/3

• 10/3

Multiple Choice

Multiply: 5/2 x 10/3

Numerator x Numerator

Denominator x Denominator

• 50/6

• 15/5

• 50

• 6

Multiple Choice

Simplify 50/6.

How many times can 6 fit into 50? What is left over?

Can the left over fraction be simplified?

• 8 2/6

• 9

• 8 1/3

• 8 5/6

Ricardo runs a bakery. He gets an order for 36 cookies. His recipe only tells him how to make 24 cookies. How will he make 36 cookies?

Mastery Question

Shire:

What do you notice about the problem? Will Ricardo use more or less ingredients to make 36 cookies?

Gondor:

Ricardo's recipe for 24 cookies calls for 1 1/2 cups of flour. How many cups of flour will he need to make 36 cookies?

Mordor:

How many cups of flour will Ricardo need to make 60 cookies?

Open Ended

Are you ready to take a test on this?

Yes / Need Practice / No