Rational numbers

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Rational numbers

  1. 1. Rational Numbers Summary
  2. 2. Definition of Rational Numbers <ul><li>Any number that can be made by dividing one integer by another. The word comes from &quot;ratio&quot;. </li></ul><ul><li>This means that rational numbers include positive and negative numbers, whole numbers, fractions and decimals. </li></ul>
  3. 3. <ul><li>Two fractions that stand for the same number </li></ul>What is an equivalent fraction?
  4. 4. Vs. Mixed Numbers Improper Fractions
  5. 5. What is a mixed number? <ul><li>The sum of a whole number and a fraction </li></ul>
  6. 6. & These are examples of mixed numbers
  7. 7. What is an improper fraction <ul><li>A fraction with a numerator greater then the denominator </li></ul>NUMERATOR denominator
  8. 8. <ul><li>These are examples of improper fractions </li></ul>&
  9. 9. Changing an improper fraction to a mixed number = =
  10. 10. Notice how the denominator stays the same when converting to an improper fraction to a mixed number =
  11. 11. Changing a mixed number into an improper fraction = =
  12. 12. Notice how the denominators stay the same when converting from a mixed number to an improper fraction = =
  13. 13. Fractions are FUNNY!
  14. 14. Were here to show you the rules! Adding Fractions Subtracting Fractions Multiplying Fractions Dividing Fractions
  15. 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. 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. 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. 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. 19. Subtracting Fractions Same rule…you have to get a common denominator before you subtract the numerators!
  20. 20. Example of Subtraction
  21. 21. Multiplying Fractions Multiplying fractions is easy Multiple the numerators Multiple the denominators
  22. 22. Example of Multiplying
  23. 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. 24. Example of Dividing When the fraction is “flipped” it is called the INVERSE

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