Warm – up: List all the different was we multiply fractions in real-life situations. (Start with the situation in your word problem from Friday.)

Multiplying & Dividing Fractions Objective: Students will multiply and divide fractions in real world situations, and model their solutions.

Multiplying Fractions Mixed numbers need to be changed to improper fractions first Simplify by dividing the numerators and denominators by the GCF Multiply the numerators Multiply the denominators Simplify the answer if needed

Find the product.

Change the mixed numbers to improper fractions.

Cross simplify—divide out the GCF of 3 and 6divide by 3 2 1

Multiply the numerators/denominators. 2 1

Simplify the answer. 2 1

Dividing Fractions

Division can be done through repeated subtraction. There are 6 one-thirds in 2, therefore ,

Division can also be shown with models. Draw 2 unit squares

Division can also be shown with models. Then divide each rectangle into thirds. There are 6 thirds in the model so

How much pie will each person get if 3 people share ½ of a pie equally? Take the ½ of a pie and divide it into 3 equal pieces so . Each person will get 1/6 of the pie.

To divide fractions, multiply by the reciprocal of the 2nd number. = = = = =

Divide.

Divide. First change the mixed numbers to improper fractions. =

Then multiply by the reciprocal of the 2nd number. = =

Multiply the numerators and denominators. = =

Simplify the answer. = =

It’s time for you to practice!

Classwork/Homework Multiplying and Dividing Fractions Worksheet.