41/10-[5/2-{5/6-(2/3+3/10-4/15)}]
Answers
Answer:
26 / 15
Step-by-step explanation:
Question → 41/10-[5/2-{5/6-(2/3+3/10-4/15)}]
41/10 - [ 5/2 - { 5/6 - ( 2/3 + 3/10 - 4/15 ) } ]
[solving the first bracket first]
= ( (2 x 10 + 3 x 3 - 4 x 2) / 30 )
= ( (20 + 9 - 8) / 30 )
= ( 21 / 30 )
[now second bracket]
= { 5 / 6 - 21 / 30}
= { (5 x 5 - 21 x 1) / 30 }
= { (25 - 21) / 30 }
= { 4 / 30 }
[now the third bracket]
= [5 / 2 - 4 / 30]
= [ (5 x 15 - 4 x 1) / 30 ]
= [ (75 - 4) / 30 ]
= [ 71 / 30 ]
[now the last part]
= 41 / 10 - 71 / 30
= (41 x 3 - 71 x 1) / 30
= (123 - 71) / 30
= 52 / 30 [bring this to the lowest term]
= 26 / 15
The full sum :-
41 / 10 - [ 5 / 2 - { 5 / 6 - ( 2 / 3 + 3 / 10 - 4 / 15 ) } ]
= 41 / 10 - [ 5 / 2 - { 5 / 6 - 21 / 30 } ]
= 41 / 10 - [ 5 / 2 - 4 / 30 ]
= 41 / 10 - 71 / 30
= 52 / 30
= 26/ 15
I hope it helps..