Dividing Fractions by Fractions

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# Dividing Fractions by Fractions - PowerPoint PPT Presentation

Dividing Fractions by Fractions. Academic Lab Math Intervention Lesson 3 of Dividing Fractions by Fractions. Let’s watch two video clips explaining what it means to divide fractions by fractions. http://www.teachertube.com/viewVideo.php?video_id=81294

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### Dividing Fractions by Fractions

Math Intervention

Lesson 3 of Dividing Fractions by Fractions

Let’s watch two video clips explaining what it means to divide fractions by fractions.
• http://www.teachertube.com/viewVideo.php?video_id=81294

This video is 2:50 minutesabout multiplying the reciprocal in a song.

This video is 9:50 minutes about how to divide mixed numbers by mixed numbers.

What is the difference between a MIXED NUMBER and its IMPROPER FRACTION?

It’s all about how you represent the amount!

The amount is either represented in “Wholes and Fractions”

called Mixed Numbers.

Get it? It’s a MIX of Wholes and Fractions!

Or the same amount is ALL cut into EQUAL size fractionscalled Improper Fractions.

The Wholes are CUT into fractions to EQUAL the fractional parts!

That’s not “improper” at all! 

What is a MIXED NUMBER? It’s a combo of Wholes AND Fractions!

• If you had pizzasit would MEAN that you have 3 WHOLE pizzas and FRACTION of another pizza. It would LOOK like this…

How do you CHANGE a MIXED NUMBER into an IMPROPER FRACTION?

You CUT both the WHOLE and FRACTIONS into the SAME SIZE fractions!

• Since the fraction of the pizza are cut into then we need to cut ALL of the pizza into or “thirds.” It would LOOK like this…

There are now ELEVEN same size fractions which is the same asthe improper fraction of .

Tessa has 7 cups of flour. She needs 1 cups of flour to make one loaf of bread. How many loaves she can make?

• Then divide it into groups of the amount she NEEDS per loaf.
• How many loaves can Tessa make?

5 loaves!

How do you Solve division of Mixed Numbers using the standard algorithm of “Multiply the Reciprocal.”

Start with what you HAVE then divide it by the size you NEED!

STOP!!! You must change the Mixed Numbers into Improper Fractions. Cut all the wholes and parts into the same size fractions. See the model…

Loaves

Now you can “multiply the reciprocal”

There are now

15 Equal HALVES!

You need 3 Halves per loaf!

Student Practice!

Susan has cups of chocolate chips in the cupboard. She is reading a recipe that needs cups for a batch of chocolate chip cookies. How many batches will Susan be able to make?