Page 146 - Start Up Mathematics_6

Example 29: Write these fractions appropriately as additions or subtractions:

(a) =
...

(b) =
...

(c) =
...

1 3 4 4 2 2 4 3 1
Solution: (a) + = (b) – = (c) – =
5 5 5 8 8 8 6 6 6
Example 30: Evaluate:

1 1 11 9 13 8
(a) + (b) – (c) –
16 16 11 11 15 15
3 3 0 12
(d) 1 – (e) + (f) 3 –
4 4 4 5
1 1 1 + 1 2 1 11 9 11 – 9 2
Solution: (a) + = = = (b) + = =
16 16 16 16 8 11 11 11 11

13 8 13 – 8 5 1 3 4 3 4 – 3 1
(c) – = = = (d) 1 – = – = =
15 15 15 15 3 4 4 4 4 4

3 0 3 + 0 3 12 3 × 5 12 15 – 12 3
(e) + = = (f) 3 – = – = =
4 4 4 4 5 5 5 5 5
1 2
Example 31: Krish coloured of a drawing. His sister Arushi helped him and coloured of the
3 3
drawing. How much did they colour together?
1
Solution: Krish coloured of the drawing.
3
2
Arushi coloured of the drawing.
3
1 2 1 + 2 3
Together they coloured + = = = 1, i.e., the whole drawing.
3 3 3 3
Example 32: Fill in the missing fractions.
5 3 7 11
(a) – = (b) + =
10 10 13 13

Solution: (a) To subtract like fractions, the denominators should be same.
a
So, let the missing fraction be 10 .
5 a 3
Now, – =
10 10 10

138