1. How much do you still remember of what you learnt about fractions in Gr. 4? Let us start with a competition – girls against boys! Take turns and see if you can answer the following questions. Your educator will tell you who must answer first and will also award points (2 points for every correct answer and 5 points if the boys can answer a question that the girls can’t, and vice versa).

1.1 What is a fraction?

1.2 If I write 2525 size 12{ { { size 8{2} } over { size 8{5} } } } {} what do I call the 2?

1.3 What operation sign can replace the — in 2525 size 12{ { { size 8{2} } over { size 8{5} } } } {}?

1.4 What is the function of the denominator?

1.5 If I cut up a whole into more and more sections, each section becomes ______

1.6 What do I call the 7 in 4747 size 12{ { { size 8{4} } over { size 8{7} } } } {}?

1.7 Fractions of the same size are called _____ fractions.

1.8 The fewer the number of sections the whole is divided into, the _____they are.

1.9 What is the function of the numerator?

1.10 How do we simplify our fractions?

LET US REVISE

A fraction is an equal part of a whole.

Figure 1

Four-fifths

4: Counts how many equal parts I am working with and is called the numerator.

5: The denominator says how many equal parts the whole has been divided into.

2. Let us test your knowledge by means of a few practical activities. Look at the following and answer the questions:

2.1 Colour in the figures that show halves:

(a) (b) (c) (d)

2.2 Colour in only the figures that show quarters:

(a) (b) (c)

(d) (e)

2.3 Neatly colour in the figures that show sixths:

(a) (b) (c) (d)

2.4 Why didn’t you colour in the other figure c?

2.5 What fraction is cut out in each of the following figures?

i) ii) iii) iv) v) vi)

vii) viii) ix) x) xi)

A.

Figure 2

B.

Figure 3

C.

Figure 4

D.

Figure 5

E.

Figure 6

F.

Figure 7

G.

Figure 8

H.

Figure 9

I.

Figure 10

J.

Figure 11

K.

Figure 12

Did you know?

1. Can you still remember how to add fractions? Let us see. Work together with a friend. Take turns to say the answers. Choose any two fractions and add them. Give your answer first as an improper fraction and then as a mixed number.

Ask your teacher’s help if you struggle.

Table 3

1.1

1.2

1. Look carefully at the following questions and then complete them as neatly as possible.

EQUIVALENT FRACTIONS

Did you know?

We call fractions that are equal in size, equivalent fractions. The word equivalent means ‘the same as’. Thus the fractions are equal.

Do you remember?

2. The following activity will prepare you for the addition and subtraction of fractions. Use your knowledge of equivalent fractions and answer the following. Where you are in doubt, use the diagram above.

2.1: 12=…1012=…10 size 12{ { { size 8{1} } over { size 8{2} } } = { { size 8{ dotslow } } over { size 8{"10"} } } } {}

2.2: 23=…623=…6 size 12{ { { size 8{2} } over { size 8{3} } } = { { size 8{ dotslow } } over { size 8{6} } } } {}

2.3: …5=810…5=810 size 12{ { { size 8{ dotslow } } over { size 8{5} } } = { { size 8{8} } over { size 8{"10"} } } } {}

2.4: 14=…1214=…12 size 12{ { { size 8{1} } over { size 8{4} } } = { { size 8{ dotslow } } over { size 8{"12"} } } } {}

2.5: 5…=10125…=1012 size 12{ { { size 8{5} } over { size 8{ dotslow } } } = { { size 8{"10"} } over { size 8{"12"} } } } {}

2.6: 410=…5410=…5 size 12{ { { size 8{4} } over { size 8{"10"} } } = { { size 8{ dotslow } } over { size 8{5} } } } {}

2.7: 13=3…13=3… size 12{ { { size 8{1} } over { size 8{3} } } = { { size 8{3} } over { size 8{ dotslow } } } } {}

2.8: …6=12…6=12 size 12{ { { size 8{ dotslow } } over { size 8{6} } } = { { size 8{1} } over { size 8{2} } } } {}

2.9: 36=…1236=…12 size 12{ { { size 8{3} } over { size 8{6} } } = { { size 8{ dotslow } } over { size 8{"12"} } } } {}

2.10: 46=…946=…9 size 12{ { { size 8{4} } over { size 8{6} } } = { { size 8{ dotslow } } over { size 8{9} } } } {}