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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_04
\\November 22, 2023 3:12 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

(d) Convert the given fractions into their respective equivalent fractions having the
same denominator equal to the LCM of the denominators of the given fractions.

Here, LCM of 9 and 4 is 36
4 5 67 17 67 × 4 17 × 9
Therefore, 7 – 3 = – = –
9 4 9 4 9 × 4 4 × 9

= 268 – 153 = 268 – 153 = 115 = 3 7
36 36 36 36 36

1
3
1
example 5: A farmer uses of his land for pears, for apples and for plums. Find the
3 8 6
total area of land used to grow the fruit plants.
Solution: Area of land used for pears = 1
3

Area of land used for apples = 3
8
Area of land used for plums = 1
6
1
3
1
Therefore, total land used to grow the fruits = + +
6
8
3
= 1 × 8 + 3 × 3 + 1 × 4
3 × 8 8 × 3 6 × 4
8 9 4 8 + 9 + 4 21 7
= + + = = = (Since, LCM of 3, 8 and 6 is 24)
24 24 24 24 24 8
7
Thus, the farmer used of the land to grow the fruit plants.
8
5
example 6: What must be subtracted from 6 1 to get 3 ?
12 8
5
1
Solution: The required number is the difference obtained by subtracting 3 from 6 12 .
8
1 5 73 29 73 × 2 29 × 3
Therefore, 6 – 3 = – = – (Since, LCM of 12, 8 is 24)
12 8 12 8 12 × 2 8 × 3
146 87 146 – 87 59 11
= – = = = 2
24 24 24 24 24

Practice time 4c

1. Add the following.
3
(a) + 4 (b) 7 + 11 (c) 3 + 7 + 1
7 7 12 12 10 20 5
3 5 1 1 5 2 1
(d) 2 + 1 (e) 2 + 1 + (f) 2 + 1 +
7 14 6 8 6 3 4
1 4 7 5 3 7 3 1
(g) 2 + 3 + 1 (h) 3 + 5 + 2 (i) 4 + 6 + 3
5 9 8 12 4 10 5 2
5 3 7 2 1 11 8 1
(j) 5 + 1 + 4 (k) 12 + 13 + 2 (l) 1 + 3 + 1
6 8 12 5 5 14 21 7

92 Mathematics-5