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- 1. Rational Numbers Summary
- 2. Definition of Rational Numbers <ul><li>Any number that can be made by dividing one integer by another. The word comes from "ratio". </li></ul><ul><li>This means that rational numbers include positive and negative numbers, whole numbers, fractions and decimals. </li></ul>
- 3. <ul><li>Two fractions that stand for the same number </li></ul>What is an equivalent fraction?
- 4. Vs. Mixed Numbers Improper Fractions
- 5. What is a mixed number? <ul><li>The sum of a whole number and a fraction </li></ul>
- 6. & These are examples of mixed numbers
- 7. What is an improper fraction <ul><li>A fraction with a numerator greater then the denominator </li></ul>NUMERATOR denominator
- 8. <ul><li>These are examples of improper fractions </li></ul>&
- 9. Changing an improper fraction to a mixed number = =
- 10. Notice how the denominator stays the same when converting to an improper fraction to a mixed number =
- 11. Changing a mixed number into an improper fraction = =
- 12. Notice how the denominators stay the same when converting from a mixed number to an improper fraction = =
- 13. Fractions are FUNNY!
- 14. Were here to show you the rules! Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions
- 15. Adding Fractions Adding fractions requires a common denominator To find the common denominator between fractions simply multiply the denominators and this is the common denominator. this number may be large so try and find a number that all denominators will divide into evenly.
- 16. Adding Fractions <ul><li>However this number may be large so try and find a number that all denominators will divide into evenly. </li></ul>Adding fractions requires a common denominator To find the common denominator between fractions simply multiply the denominators and this is the common denominator.
- 17. Example <ul><li>We need to find a C.D. in order to add these fractions. </li></ul><ul><li>If we multiply the denominators </li></ul><ul><li>that is a big number…but both 6 and 12 divide evenly (without a remainder) into 12. </li></ul><ul><li>The first fraction already has a denominator of 12 so we leave it alone but what do we have to multiple the second denominator by in order to change it to 12? </li></ul><ul><li>If you said 2…you are right! </li></ul>
- 18. Example continued… <ul><li>If you multiply the denominator by 2 you MUST multiply the numerator by two also! </li></ul><ul><li>Remember: whatever you do to the bottom you must do to the top. </li></ul><ul><li>Once you have common denominators…add the numerator and KEEP the Common Denominator. </li></ul>
- 19. Subtracting Fractions Same rule…you have to get a common denominator before you subtract the numerators!
- 20. Example of Subtraction
- 21. Multiplying Fractions Multiplying fractions is easy Multiple the numerators Multiple the denominators
- 22. Example of Multiplying
- 23. Dividing Fractions Dividing fractions requires one more step Keep the first fraction the same Change the multiple to divide And FLIP the second fraction
- 24. Example of Dividing When the fraction is “flipped” it is called the INVERSE

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