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DIVISION OF FRACTIONS; RATIOS; LISTING OUTCOMES

In division of fractions, sometimes the answer is larger than part of the division problem.  We will see how that can happen.  To divide fractions, we find the reciprocal of the second fraction then multiply.  More simply stated, to divide fractions we multiply by the inverse.

A ratio is a comparison of two quantities.  Ratios can be written several ways.  A ratio of 7 to 6 may be written 7:6 or could be written 7/6.  The word ratio is pronounced “rash – e – o” with a “long a” in “rash”.  We will look at a colorful picture to help us write ratios.

Did you ever have a hard time choosing which outfit you were going to wear?  You may have had three shirts, two pairs of pants, and three pairs of shoes from which to choose.  In this particular case you would have 18 different outfits that you could put together.  No wonder it is such a difficult choice!

 

Introduction to Division of Fractions


A child's bracelet is 4 inches long.  Each of the links is ½ inch long.  How many links are in the chain?

 

Draw a picture to solve.





Dividing Fractions




Ratios


Listing Possible Outcomes



Brooke is deciding on which outfit she will wear to school.  She has several choices.  She has three shirts – Red, Blue, Gold, and two pairs of slacks – Jeans, Khakis. List all the possible outfit combinations.

 

 

Possible Outcomes

 

Red Shirt & Jeans                  Blue Shirt & Jeans                Gold Shirt & Jeans

Red Shirt & Khakis               Blue Shirt & Khakis             Gold Shirt & Khakis

 

Brooke has 6 possible outfits from which to choose.




Below are additional educational resources and activities for this unit.
 
Unit 13 Dividing Fractions and Whole Numbers Worksheet
 
Unit 13 Dividing Fractions Worksheet
 
Unit 13 Find the Ratios Worksheet
 
Unit 13 Equivalent Ratios Worksheet