New Learning Composite Mathematics Class 6 SK Gupta Anubhuti Gangal Fractions Chapter 5G Solution
(1) (a) 4/9 + 1/9
= 4+1/9
= 5/9
(b) 5/12 + 7/12
= 5+7/12
= 12/12
(c) 7/18 + 5/18
= 7+5/18
= 12/18
= 2/3
(d) 12/100 + 13/100
= 12+13/100
= 25/100
= 1/4
(2) (a) 1/10 + 3/10 + 5/10
= 1+3+5/10
= 9/10
(b) 1/20 + 7/20 + 3/20
= 1+7+3/20
= 11/20
(c) 2 1/5 + 3 2/5 + 6 1/5
= 11/5 + 17/5 + 31/5
= 11 + 17 + 31/5
= 59/5
= 11 4/5
(3) (a) 8/5 – 2/5
= 3 – 2/5
= 1/5
(b) 7/11 – 5/11
= 7-5/11
= 2/11
(c) 3/4 – 1/4
= 3 – 1/4
= 2/4
= 1/2
(d) 11/12 – 7/12
= 11 – 7 / 12
= 4/ 12
= 1/3
(4) (a) 1 – 9/10
= 10 – 9/10
= 1/10
(b) 26/75 – 11/75
= 26 – 11/75
= 15/75
= 1/5
(c) 1 – 7/16
= 16 – 7/16
= 9/16
(d) 28/100 – 3/100
= 28-3/100
= 25/100
= ¼
(5) (a) 4 1/3 + 2 1/3
= 13/3 + 7/3
= 13+7/3
= 20/3
= 6 2/3
(b) 5 1/4 + 1 1/4
= 21/4 + 5/4
= 21+5/4
= 26/4
= 6 1/2
(c) 7 1/8 + 3 5/8
= 57/8 + 29/8
= 57 + 29/ 8
= 86/8
= 10 3/4
(d) 2 1/10 + 3 3/10
= 21/10 + 33/10
= 21+33/10
= 54/10
= 27/5
= 5 2/5
(6) (a) 6 2/3 – 2 1/3
= 20/3 – 7/3
= 20 – 7/3
= 13/3
= 4 1/3
(b) 2 4/5 – 1 1/5
= 14/5 – 6/5
= 14 – 6 / 5
= 8/5
= 1 3/5
(c) 8 7/12 – 3 5/12
= 103/12 – 41/12
= 103 – 41/12
= 62/12
= 31/6
= 5 1/6
(d) 38 11/18 – 15 7/18
= 695/18 – 277/18
= 695 – 277/18
= 418/18
= 209/9
= 23 2/9
(7) 1 – 3/10
= 10 – 3/ 10
= 7/10
Ans – 7/10 os earths surface is covered by water.
(8) 3 1/6 – (1/6 + 1/6)
= 19/6 – 1+1/6
= 19/6 – 2/6
= 19-2/6
= 17/6
= 2 5/6
Ans – The rest of the programme was 2 5/6 hour long.
