Table of Contents

Motivation Problems

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Common Denominators

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Unequal Denominators

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Addition and Subtraction Rule

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Improper Fraction to Mixed Number

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Mixed Number to Improper Fraction

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Add and Subtract Mixed Numbers

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Mixed Numbers versus Improper Fractions

 

 

 

 

 

 

Mixed Numbers Versus Improper Fractions

Note. It is often much easier to add and subtract mixed numbers without converting to improper fractions. Changing to improper fractions increases the number of computations and makes many problems harder to simplify.

Example.  Compute  two ways: as mixed numbers and as improper fractions

As mixed numbers

Find the common denominator.

Change to a mixed number.

As improper fractions

Change to an improper fraction.

Find the common denominator.

Change to a mixed number.

The multiplying and dividing of the large values greatly increases the chance of error. Also, if the fractions needed to be simplified, the simplification with the large values would be much more difficult when using the improper fractions method.

 Toggle open/close quiz question

Find .
 
 
 
 
 

Joke or Quote

Why did go to the psychiatrist? Click here to see the answer.

Hint: one-fifth is equivalent to ____________ which sounds like ________________.


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