SIMPLIFICATION -
1) Simplify :-
1
25 – (19 + 8) ÷ ------ of 18
3
Ans.)
1
25 – (19 + 8) ÷ ------- of 18 [Simplify the bracket first]
3
1
= 25 – 27 ÷ ------- of 18 [Next comes ‘ of ’]
3
= 25 – 27 ÷ 6
27
= 25 - ------- [Then comes division]
6
9
= 25 - ------- [Then comes subtraction]
2
25 9
= ------- - ------- [L.C.M. of 1 and 2 is 2]
1 2
(25 X 2) − (9 X 1)
= --------------------
2
50 - 9
= -----------
2
41
= ------
2
1
= 20 ------ (Ans.)
2
Example.2)
________________
1 1 1 1 3 1
8 ------ + [4 ------ + {8 ------ - (3 ------ - 6 ----- - 5 -----)}]
4 2 3 2 4 2
________________
1 1 1 1 3 1
8 ------ + [4 ------ + {8 ------ - (3 ------ - 6 ----- - 5 -----)}]
4 2 3 2 4 2
[Convert the mixed fractions into improper fractions]
_____________
33 9 25 7 27 11
= ------ + [------ + {------ - (------ - ------ - ------)}]
2 2 2 2 4 2
27 11 27 - (11 X 2) 5
Remove the bar first = ------ - ------ = ------------- = -------
4 2 4 4
33 9 25 7 5
= ------ + [------ + {------ - (------ - ------)}]
2 2 2 2 4
Then remove the common/first bracket -
33 9 25 14 - 5
= ------ - [----- + {------ - (--------)}]
2 2 2 4
33 9 25 9
= ------ - [----- + {------ - ------}]
2 2 2 4
Then remove the curly/second bracket
33 9 50 - 9
= ------ - [----- + {--------}]
2 2 4
33 9 41
= ------ - [------ + ------]
2 2 4
Then remove the square/third bracket
33 18 + 41
= ------ - [----------]
2 4
33 59
= ------- - -------
2 4
(33 X 2) - 59
= ---------------
4
66 - 59
= -----------
4
7 3
= ------- = 1 ------ (Ans.)
4 4