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Simplify: 8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 9 ÷ 24)}]
Question

Simplify: 8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 9 ÷ 24)}]

A.

80/27

B.

20/27

C.

60/27

D.

160/27

Correct option is A

Given: 8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 9 ÷ 24)}]

Concept Used:

Priority wise Operation
Symbol/चिह्न
B-Bracket/कोष्ठक
(), {}, []
O-Of/का
Of/का
D-Division/विभाजन
/,÷
M-Multiplication/गुणा
×, *
A-Addition/जोड़
+
S-Subtraction/घटाव
-

Solution:
8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 9 ÷ 24)}]
= 8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 9/24 )}]
= 8 ÷ [(9 - 5) ÷ {(7 - 2) ÷ (3 + 3/8 )}]
= 8 ÷ [(9 - 5) ÷ {(5) ÷ ( 27/8 )}]
= 8 ÷ [(4) ÷ { 40/27 }]
= 8 ÷ [ 4/(40/27) ]
= 8 ÷ [ 27/10 ]
=8/(27/10)
= 80/27

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