New Learning Composite Mathematics Class 6 SK Gupta Anubhuti Gangal Fractions Chapter 5H Solution
(1) (a) 2/5, 9/10
LCD of 5, 10 = 10
= 2 x 2 / 5 x 2 , 9/10
= 4/10, 9/10
(b) 3/8 , 7/12
= LCD of 8, 12 = 24
= 9/24 , 14/24
(c) 5/6 , 1/9
= LCD of 6, 9 = 18
= 5×3/6×3 , 1×2/9×2
= 15/18 , 2/18
(d) 7/9 , 2/15 . 11/18
= LCD of 9, 15, 18 = 90
= 7×10/9×10 , 2×6/15×6 , 11×5/18×5
= 70/90 , 12/90 , 55/90
(2) (a) 11/8 + 1/6
= 11+3/18 [OLCD of 18, 6 = 18]
= 14/18
= 7/9
(b) 3/7 + 5/21
= 9+5/21 [LCD of 7, 21 = 21]
= 14/21
= 2/3
(c) 3/4 + 7/10
= 15+14/20 [LCD of 4, 10 = 20]
= 29/20
= 1 9/20
(d) 7/8 + 5/6
= 21+20/24 [LCD of 8, 6 = 24]
= 41/24
= 1 17/24
(3) (a) 6/7 – 1/5
= 30-7/35
= 23/35
(b) 8/9 – 1/12
= 32-3/36 [LCD of 9, 12 = 36]
= 29/36
(c) 7/15 – 3/10
= 14-9/30 [LCD of 15,10 = 30]
= 5/30
= 1/6
(d) 11/12 – 7/5
= 55-28/60 [LCD of 12, 15 = 60]
= 27/60
= 9/20
(4) (a) 5/8 + 1/4 – 3/5
= 25+10-24/40 [LCD of 8, 4, 5 = 40]
= 25 + 10 – 24/ 40
= 35 – 24 / 40
= 11 / 40
(b) 7/8 – 1/6 + 1/4
= 21 – 4 + 6 / 24 [LCD of 8, 6, 4 = 24]
= 23/24