Example Karen’S Math Review

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Example Karen’S Math Review

  1. 1. Karen’s math review Adding and subtracting fractions
  2. 2. Adding fraction with like denominators <ul><li>If the denominator (the bottom number) is the same </li></ul><ul><ul><li>Add the numerators (the top number) </li></ul></ul><ul><ul><li>Keep the bottom number the same </li></ul></ul><ul><ul><li>Simplify your answer </li></ul></ul>
  3. 3. example <ul><li>1 3 4 </li></ul><ul><li>4+4=4=1 </li></ul>
  4. 4. Adding if denominators are different <ul><li>If the denominator (the bottom number) is the different </li></ul><ul><ul><li>Find the LCM (least common multiple) of the denominator </li></ul></ul><ul><ul><li>Multiply the fractions by the factor that will create common denominators </li></ul></ul><ul><ul><li>Add the numerators (the top number) </li></ul></ul><ul><ul><li>Keep the bottom number the same </li></ul></ul><ul><ul><li>Simplify your answer </li></ul></ul>
  5. 5. example <ul><li>1 2 </li></ul><ul><li>2+3= </li></ul><ul><li>The LCM is 6 so multiply the first fraction by 3 </li></ul><ul><ul><li>1 3 = 3 </li></ul></ul><ul><ul><li>2x3=6 </li></ul></ul><ul><ul><li>The second fraction would be multiplied by 2 </li></ul></ul><ul><ul><li>2 4 </li></ul></ul><ul><ul><li>3 x 2=6 </li></ul></ul>
  6. 6. Example continued <ul><li>The two new fractions are </li></ul><ul><ul><li>3 4 7 </li></ul></ul><ul><ul><li>6+ 6 = 6 = 1 1/6 </li></ul></ul><ul><ul><li>Since denominators are the same, add the numerators and keep the denominators the same and simplify </li></ul></ul>
  7. 7. Subtracting fraction with like denominators <ul><li>If the denominator (the bottom number) is the same </li></ul><ul><ul><li>subtract the numerators (the top number) </li></ul></ul><ul><ul><li>Keep the bottom number the same </li></ul></ul><ul><ul><li>Simplify your answer </li></ul></ul>
  8. 8. example <ul><li>3 - 1 2 1 </li></ul><ul><li>4 4=4= 2 </li></ul>
  9. 9. Subtracting if denominators are different <ul><li>If the denominator (the bottom number) is the different </li></ul><ul><ul><li>Find the LCM (least common multiple) of the denominator </li></ul></ul><ul><ul><li>Multiply the fractions by the factor that will create common denominators </li></ul></ul><ul><ul><li>Subtract the numerators (the top number) </li></ul></ul><ul><ul><li>Keep the bottom number the same </li></ul></ul><ul><ul><li>Simplify your answer </li></ul></ul>
  10. 10. example <ul><li>1 1 </li></ul><ul><li>2- 3= </li></ul><ul><li>The LCM is 6 so multiply the first fraction by 3 </li></ul><ul><ul><li>1 3 = 3 </li></ul></ul><ul><ul><li>2x3=6 </li></ul></ul><ul><ul><li>The second fraction would be multiplied by </li></ul></ul><ul><ul><li>1 2 2 </li></ul></ul><ul><ul><li>3 x 2=6 </li></ul></ul>
  11. 11. Example continued <ul><li>The two new fractions are </li></ul><ul><ul><li>3- 2 1 </li></ul></ul><ul><ul><li>6 6 = 6 </li></ul></ul><ul><ul><li>Since denominators are the same, subtract the numerators and keep the denominators the same and simplify, if needed </li></ul></ul>
  12. 12. Sample test <ul><li>Solve </li></ul><ul><li>1. 5/8-3/8= </li></ul><ul><li>2. 4/3+3/4 </li></ul><ul><li>3. 1 ¾+2 ¼ </li></ul><ul><li>4. 2 3/8-1 ½ </li></ul><ul><li>Which is more </li></ul><ul><li>5. 4/5 2/3 </li></ul>
  13. 13. Sample test <ul><li>Which is in lowest form </li></ul><ul><li>6. 4/6 2/3 13/26 </li></ul><ul><li>7. 8-2/3 </li></ul><ul><li>8. 6/7+3/10 </li></ul><ul><li>9. 2/3+2 </li></ul><ul><li>10. ¼+1/2+1/4 </li></ul><ul><li>11. What is 1 st step in subtracting fractions with different denominators? </li></ul>
  14. 14. Sample test <ul><li>12. What is the 3 rd step in adding mixed numbers? </li></ul><ul><li>What operations sign will make these two equations correct? </li></ul><ul><li>13. ½ ¼ =3/4 </li></ul><ul><li>14. 3 1/3 1 5/6= 1 ½ </li></ul><ul><li>What can you change to make this equation correct? </li></ul><ul><li>15. ½ -1/3 =1 </li></ul>
  15. 15. Sample test <ul><li>Write two mixed number problems that will give you the answer ½ </li></ul><ul><li>16. </li></ul><ul><li>17. </li></ul><ul><li>What would happen if you subtract a fraction from a whole number? </li></ul><ul><li>18. </li></ul><ul><li>Why does ¼+1/2 not equal 1/6? </li></ul><ul><li>19. </li></ul><ul><li>Draw and label a square whose perimeter is 1 inch. </li></ul><ul><li>20. </li></ul>

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