Page 110 - Maths Class 06

2 2 3´ 6 8 8 7´ 56
= = , = =
7 7 3´ 21 3 3 7´ 21

8 2 56 6 50
Thus, - = - =
3 7 21 21 21
c. Ad di tion and sub trac tion of mixed frac tions : To add or sub tract the mixed frac tions, ex press them as
im proper frac tion and then pro ceed. The other method is to sep a rate the whole and frac tional part and
per form the re quired op er a tion in di vid u ally on both parts, e g. .,
1 3
Let us add 4 + 5 2+
5 10
1 3 æ 1 3 ö 1 1 3 3
4 + 5 2+ =(4 + + )5 2 + ç + ÷ Q 4 = 4 + and 2 = 2 +
5 10 è 5 10 ø 5 5 10 10
æ 2 3 ö æ 5 ö 5 1
= 11 + ç + ÷ = 11 + ç ÷ = 11 or 11
è 10 10 ø è 10 ø 10 2
2 5
EX AM PLE 1. Compare and .
5 7
SO LU TION : The given frac tions are un like, so, let us take the LCM of 5 and 7 = 35
2 2 7´ 14 5 5 5´ 25
= = and = = 35 5¸ = 7 , 35 7¸ = 5
5 5 7´ 35 7 7 5´ 35

14 25 2 5
Clearly < , therefore <
35 35 5 7
EX AM PLE 2. Write the frac tions and pair up the equiv a lent frac tions from each col umn:

(a) (i)

(b) (ii)

(c) (iii)

(d) (iv)

(e) (v)

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