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MATHEMATICS YEAR 4 FRACTIONS NOTES (ADDING & SUBSTRACTING)
FRACTION: HOW TO ADD?? When the denominators are the same… We have a rectangle that is cut into 4 pieces... Each piece is  and 2 pieces are  If we add  , that would be… 4 4 + = 1 4 2 4 1 2 + = 3 4
When the denominators are different… We need to find least common denominator (LCD) For example,  The LCD  for 2 and 3 is 6… Change  :  Change  :
When the denominators are the same… We have a rectangle that is cut into 6 pieces... Each piece is  .  So,  HOW TO SUBTRACT?? (5 pieces) Take away 2 pieces,  So,  (3 pieces are left) 1 6 5 6 - 2 6 5 6 = 5 6 - 2 6 = 3 6
When the denominators are different… When the denominators are different…
FRACTIONS TASK : PROBLEM SOLVING  (ADDING & SUBSTRACTING) Instruction: Answer the problem solving questions and show the working steps. Students have to post their answers on teacher’s Wikispace, ‘mathsforfun’, at the discussion section.
Q1. Sally ate  ⅛   of  cake and her sister ate  ⅜  of it. What fraction did they eat altogether? Q2. Arif mowed  3/10  of the lawn and Tina mowed  5/10  of the lawn.  How much of the lawn has been mowed?
Q3. May planted  1/3  of her vegetable garden in the morning and another  1/3  of it in the afternoon. What fraction of her garden was planted in one day?   Q4. Jill studied math for 2  3/4  hours and   Spanish for  1  2/3  hours. What was her total study time?
Q5. Ashley made a muffin. She used  1  2/3  cups of white flour and 3 cups of whole-wheat flour. How much flour did she  use in all?   Q6. Sidhu had 8 dollars. He spent  ⅝  of his money on candy and another  ¼  of his money on soda. What fraction of his money did he spend altogether?
Q7. Maria collects 1 ¼ boxes of litter from the roadside. Amy collects 2 ¾ boxes. How many boxes of litter did they collect in all?  Q8. There are eight pieces of pizza. Roy ate  3/8  of the pizza for dinner. He ate  3/8  of the pizza for a bedtime snack. How much of the pizza is left?
Q9. Miss Lee brought 4  4/5  pounds of candy to school. The students in third grade ate 2  ½  pounds of the candy. How much did Miss Lee have left? Q10. A plumber needs 8 ¾ metres of pipe to repair a water line.  He has only 4 ½ metres of pipe. How many more metres of pipe does he need?
Q11. Adam bought 2  1/5  pounds ground beef. His mother used 1  3/5  pounds to make hamburgers. How much of the ground beef was left? Q12. All of William's school books weigh a total of 5  1/2  kilograms. If he take away his math book, the total weight drops to 2  1/2  kilograms. How much does William's math book weigh?

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Mathematicsfractions

  • 1. MATHEMATICS YEAR 4 FRACTIONS NOTES (ADDING & SUBSTRACTING)
  • 2. FRACTION: HOW TO ADD?? When the denominators are the same… We have a rectangle that is cut into 4 pieces... Each piece is and 2 pieces are If we add , that would be… 4 4 + = 1 4 2 4 1 2 + = 3 4
  • 3. When the denominators are different… We need to find least common denominator (LCD) For example, The LCD for 2 and 3 is 6… Change : Change :
  • 4. When the denominators are the same… We have a rectangle that is cut into 6 pieces... Each piece is . So, HOW TO SUBTRACT?? (5 pieces) Take away 2 pieces, So, (3 pieces are left) 1 6 5 6 - 2 6 5 6 = 5 6 - 2 6 = 3 6
  • 5. When the denominators are different… When the denominators are different…
  • 6. FRACTIONS TASK : PROBLEM SOLVING (ADDING & SUBSTRACTING) Instruction: Answer the problem solving questions and show the working steps. Students have to post their answers on teacher’s Wikispace, ‘mathsforfun’, at the discussion section.
  • 7. Q1. Sally ate ⅛ of cake and her sister ate ⅜ of it. What fraction did they eat altogether? Q2. Arif mowed 3/10 of the lawn and Tina mowed 5/10 of the lawn. How much of the lawn has been mowed?
  • 8. Q3. May planted 1/3 of her vegetable garden in the morning and another 1/3 of it in the afternoon. What fraction of her garden was planted in one day? Q4. Jill studied math for 2 3/4 hours and Spanish for 1 2/3 hours. What was her total study time?
  • 9. Q5. Ashley made a muffin. She used 1 2/3 cups of white flour and 3 cups of whole-wheat flour. How much flour did she use in all? Q6. Sidhu had 8 dollars. He spent ⅝ of his money on candy and another ¼ of his money on soda. What fraction of his money did he spend altogether?
  • 10. Q7. Maria collects 1 ¼ boxes of litter from the roadside. Amy collects 2 ¾ boxes. How many boxes of litter did they collect in all? Q8. There are eight pieces of pizza. Roy ate 3/8 of the pizza for dinner. He ate 3/8 of the pizza for a bedtime snack. How much of the pizza is left?
  • 11. Q9. Miss Lee brought 4 4/5 pounds of candy to school. The students in third grade ate 2 ½ pounds of the candy. How much did Miss Lee have left? Q10. A plumber needs 8 ¾ metres of pipe to repair a water line. He has only 4 ½ metres of pipe. How many more metres of pipe does he need?
  • 12. Q11. Adam bought 2 1/5 pounds ground beef. His mother used 1 3/5 pounds to make hamburgers. How much of the ground beef was left? Q12. All of William's school books weigh a total of 5 1/2 kilograms. If he take away his math book, the total weight drops to 2 1/2 kilograms. How much does William's math book weigh?