Adding and Subtracting Rational Numbers Rational Numbers The
![Adding and Subtracting Rational Numbers Adding and Subtracting Rational Numbers](https://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-1.jpg)
Adding and Subtracting Rational Numbers
![Rational Numbers • The term, Rational Numbers, refers to any number that can be Rational Numbers • The term, Rational Numbers, refers to any number that can be](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-2.jpg)
Rational Numbers • The term, Rational Numbers, refers to any number that can be written as a fraction. • This includes fractions that are reduced, fractions that can be reduced, mixed numbers, improper fractions, and even integers and whole numbers. • An integer, like 4, can be written as a fraction by putting the number 1 under it.
![Types of Rational Numbers • Reduced Fractions: • Not Reduced Fractions: • Mixed Numbers: Types of Rational Numbers • Reduced Fractions: • Not Reduced Fractions: • Mixed Numbers:](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-3.jpg)
Types of Rational Numbers • Reduced Fractions: • Not Reduced Fractions: • Mixed Numbers: • Improper Fractions: • Integers and Whole Numbers:
![Simplifying Fractions • Simplifying fractions by dividing the numerator (top number) and denominator (bottom Simplifying Fractions • Simplifying fractions by dividing the numerator (top number) and denominator (bottom](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-4.jpg)
Simplifying Fractions • Simplifying fractions by dividing the numerator (top number) and denominator (bottom number) by the same value. • Repeat this until there are no more numbers that divide into both the numerator & denominator. • Example:
![Simplifying Fractions • Example: (Rewrite mixed numbers as improper fractions before you simplify. ) Simplifying Fractions • Example: (Rewrite mixed numbers as improper fractions before you simplify. )](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-5.jpg)
Simplifying Fractions • Example: (Rewrite mixed numbers as improper fractions before you simplify. ) • Example: (If after you divide, the fraction can still be simplified, keep going. )
![Adding Fractions • To add fractions, they must have a common denominator. • If Adding Fractions • To add fractions, they must have a common denominator. • If](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-6.jpg)
Adding Fractions • To add fractions, they must have a common denominator. • If the denominators are the same, add the numerators, and put the result over the denominator. • If the answer can be simplified, then simplify it. • Example:
![Getting a Common Denominator • Use this formula to get two fractions to have Getting a Common Denominator • Use this formula to get two fractions to have](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-7.jpg)
Getting a Common Denominator • Use this formula to get two fractions to have a common denominator: Common Denominator = 3 • 5=15. Cross Multiply & Add. Simplify if possible.
![More Examples { Cross Multiply & Add. Common Denominator Divide to Simplify. More Examples { Cross Multiply & Add. Common Denominator Divide to Simplify.](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-8.jpg)
More Examples { Cross Multiply & Add. Common Denominator Divide to Simplify.
![More Examples Change Subtraction to Addition. (Keep-Change_Change. ) Note: A fraction with a negative More Examples Change Subtraction to Addition. (Keep-Change_Change. ) Note: A fraction with a negative](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-9.jpg)
More Examples Change Subtraction to Addition. (Keep-Change_Change. ) Note: A fraction with a negative numerator or denominator is a negative fraction.
![More Examples Change Subtraction to Addition (Keep-Change_Change. ). Change Mixed Numbers to Improper Fractions. More Examples Change Subtraction to Addition (Keep-Change_Change. ). Change Mixed Numbers to Improper Fractions.](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-10.jpg)
More Examples Change Subtraction to Addition (Keep-Change_Change. ). Change Mixed Numbers to Improper Fractions. Get Common Denominator, Cross Multiply & Add. Simplify.
![You Try It! Find each sum or difference. You Try It! Find each sum or difference.](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-11.jpg)
You Try It! Find each sum or difference.
![Solutions Solutions](http://slidetodoc.com/presentation_image/3b7e07d75f51260b8154bcde531a5529/image-12.jpg)
Solutions
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