2.1 Common fractions with different denominators and numerators  (Page 3/4)

Themba said, “I think my mother was in a hurry today! She cut up an apple into eight pieces and gave them to me for my lunch.”

“That’s good,” said Khanyi, “There are four of us, so each of us can have two pieces of your apple. Now let’s share my six biscuits.”

Questions and instructions concerning the story.

• There were four girls. Colour in how much biscuit ONE girl received.

1.2 How much biscuit did each girl receive?

1.3 Khanyi said each girl could have two pieces of apple. Discuss with a friend or group: how much of the whole apple did each girl receive? Now write your answer.

1.4 There were nine pieces of sugared fruit. How many whole pieces did each girl receive?

1.5 How many pieces of dried fruit were left? Make a drawing to show how the girls would share this equally.

1.6 Altogether, how much dried fruit did each girl receive?

1.7 There were two triangular cheeses and four girls. Discuss with a friend or group how the girls would share these equally and draw in dotted lines on the diagrams below to show how they did it.

1.8 What fraction of one cheese did each girl receive?

1.9 What fraction of all the cheese (two cheeses) did each girl receive?

Just then the bell rang for the end of break. When they were settled in the classroom, their educator said, “Today we are going to consider ‘Equal Sharing’ and you may draw how to share things equally.” Of course, our four friends found the lesson very easy and their educator was pleased with them. She wondered how they were able to do the work so quickly and correctly. Only after the lesson did they explain how they had spent their break-time!

TEST YOUR SKILLS: FRACTIONS IN DIAGRAMMATIC FORM; EQUAL SHARING [LO 1.3, 1.5, 1.8]

See if you can complete the work that the educator gave her class:

1. Share 2 Marie biscuits equally amongst 5 learners. Draw lines on the circles below to show how you would do this and then write down how much each learner received altogether.

Answer: _____________________

1. Share 5 Provita biscuits equally between 2 girls. Draw lines on the rectangles below to show how they were shared equally between the 2 girls. Then write down how much each girl received altogether.

Answer:________________________

1. Three learners want to share a tin of Coke equally. They each have a paper cup. How much of the Coke will each learner receive? Draw dotted lines on the can below to show how much each learner will get. Then write down what part of the Coke each learner will receive.

Answer: …………………………………………….

4. Share 2 loaves of bread equally amongst 3 workers. How much will each worker receive? (You may draw if it helps.)

5. Share 7 sausage rolls equally amongst 6 boys. How much sausage roll will each boy receive? (You may draw if it helps.)

6. Share 8 sandwiches equally amongst 3 boys. How much will each boy receive? (You may draw if it helps.)

7. Share 8 bananas equally amongst 7 boys. How much will each boy receive? (You may draw if it helps.)

8. Share 17 slices of polony equally amongst 8 boys. How much will each boy receive? (You may use the drawing if it helps.)