BODMAS / PEMDAS / PEDMAS
30 - [20 + { 60- ( 45 - 5 ) }]= 30 - [20 + { 60 - (45 -5 ) } ]
87 - [ 29 - { 9 3 - ( 27 -6 3 ) 3 } ]
= 87 - [ 29 - { 9 3 - ( 27 -2 ) 3 } ]
= 87 - [ 29 - { 9 3 - 24 3 } ]
= 87 - [ 29 - { 3 - 8 } ]
= 87 - [ 29 - { -5} ]
= 87 - [ 29 + 5 ]
= 87 - 34
= 53
-150 + [ { (-24) - 50 ( -10 + 16 2 -17 ) } + 120 ]
= - 150 + [ { (-24) - 50 ( -10 + 32 -17 ) } + 120 ]
= -150 + [ { ( - 24) - 50 ( 22 -17 ) } + 120 ]
= -150 + [ { (-24 ) - 50 5 } + 120 ]
= -150 + [ { ( -24 ) -10 } + 120 ]
= -150 + [ { -24 - 10 } + 120 ]
= -150 + [ - 34 + 120 ]
= -150 + 86
= -64
125 - [ - 20 of (-16) + {15 ( -5) } ]
= 125 - [ -20 of ( -16 ) + { 15 -5 } ]
= 125 - [ - 20 of ( -16 ) + { -3 } ]
= 125 - [ - 20 -16 - 3 ]
= 125 - [ 320 - 3 ]
= 125 - 317
= -292
-120 [ -45 - { (15 - 10 ) ( -18 - 15 ) } ]
= -120 [ - 45 - { 5 - 33 } ]
= -120 [ -45 - { - 165 } ]
= - 120 [ - 45 + 165 ]
= -120 [ 120 ]
= -1
Example :
(41/10) - [ 5/2 - { 5/6 - ( 2/5 + 3/10 - 4/15 ) } ]
= 41/10- [ 5/2 - { 5/6 - 2/5 - 3/10 + 4/15 }]
= 41/10- [ 5/2 - 5/6 + 2/5 + 3/10 - 4/15 ]
= 41/10- 5/2 + 5/6 - 2/5 - 3/10 + 4/15
= (246-150+50-24-18+16)/60 [ LCM OF 10,2,6,5,15=60]
= (246 + 50+ 16 -150 -24 -18)/60
= (312 - 192)/60
= 120/60
= 2
= 24/5 ÷ ( 3/5 x 5/1 ) + 4/5 3/10 - 1/5
= 24/5 ÷ 3 + 4/5 x 3/10 - 1/5
= 24/5 x 1/3 + 4/5 x 3/10 - 1/5
= 8/5 + 12/50 - 1/5 [ LCM of 5, 50 = 50 ]
= (80 + 12 -10)/50
= (92 - 10)/50
= (82)/50
= (41)/25
= (1) (16)/25
Example 3 :
36/7 - { 33/10 ÷ ( 14/5 - 7/10 )}
= 36/7 - { 33/10 ( (28 -7)/10 )} [ LCM of 5, 10 is 10 ]
= 36/7 - { 33/10 ÷ 21/10 }
= 36/7 - { 33/10 x 10/21 }
= 36/7 - 11/7
= 25/7
= 3 47
Example 4 :
= 24/5 ÷ { 11/5 - 1/2 {( 25 - 5 +4)/20} [ LCM of 4, 5 = 20]
= 24/5 ÷ { 11/5 - 1/2 ( 24/20) }
= 24/5 ÷ { 11/5 - 1/2 x 24/20 }
= 24/5 ÷ { 11/5 - 3/5 }
= 24/5 ÷ 8/5
= 24/5 x 5/8
= 3
= ( 6+4)/9 x 3/5 ÷ (1) 2/3 x (1) 1/4 - 1/3 [LCM of 3,9 =9]
= 10/9 x 3/5 ÷ 5/3 x 5/4 - 1/3
= 2/3 ÷ 5/3 x 5/4 - 1/3
= 2/3 x 3/5 x 5/4 - 1/3
= 2/5 x 5/4 - 1/3
= 1/2 - 1/3 [LCM of 2,3 = 6]
= (3-2)/6
= 1/6
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