Page 76 - ICSE Math 6

3. Convert the following mixed fractions into improper fractions.

1 2 1 17
(a) 2 (b) 3 (c) 11 (d) 25
4 5 2 20
4. Convert the following improper fractions into mixed fractions.
125 43 17 40
(a) (b) (c) (d)
12 8 15 7
5. Reduce the following fractions to their simplest form.
2 5 115 24 99 120
(a) (b) (c) (d) (e) (f)
120 75 50 150 66 12
5
6. Shade of a circle after dividing it into 6 equal parts.
6
1
7. Shade of a triangle after dividing it into 4 equal parts.
2
8. Convert the following groups of unlike fractions into like fractions.
1 11 1 53 7 9 5 10 5 7 9 15
(a) , , and (b) , and (c) , and (d) , , and
2 3 5 11 6 10 8 16 7 3 14 8 7 4

Representation of Fractions on the Number Line
3
Let’s represent the fraction on the number line. On the number line, mark 0 as O and 1 as A. Divide
5
OA into 5 equal parts by inserting points B, C, D and E such that OB = BC = CD = DE = EA. The
1 2 3 4 5
points B, C, D, E and A represent , , , and ( 1)= respectively.
5 5 5 5 5
O B C D E A

0 3 1
5
1
Similarly, to represent the mixed fraction 1 on the same number Maths Info
5
line, mark point F to the right of A such that EA = AF. Point F will To represent improper fractions
1 on a number line, convert them
represent 1 . into mixed fractions.
5 B C D E A F

0 3 1 1 1 2
5 5
1 3 9
Example 12: Represent , and on the same number line.
55 5
Solution: We first divide the line segment between 0 and 1 into 5 equal parts. The first mark to
1 3
the right of 0 shows and the third mark to the right of 0 represents .
5 5
9 4
The improper fraction can be written as 1 . Divide the line segment between 1 and
5 5 4 9
2 into 5 equal parts. The fourth mark to the right of 1 represents 1 or .
5 5

0 1 3 1 9 2
5 5 5

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