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Simplify: 3┬аof┬а(5тИТ2)├╖9[5┬аof┬а(2+4)]тИТ{62├╖3}+2тАЛ
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Solve the numerator and denominator separately by strictly following the BODMAS priority (Bracket, Of, Division, Multiplication).
A fractional expression involving arithmetic operations and grouping symbols [ ], { }, ( ).
BODMAS=Brackets,┬аOf,┬аDivision,┬аMultiplication,┬аAddition,┬аSubtraction
Solve the numerator and denominator separately by strictly following the BODMAS priority (Bracket, Of, Division, Multiplication).
Confusing the order of 'of' (multiplication) with simple division or failing to treat 'of' as a higher priority operator than basic division.
Simplify the Numerator
Evaluate inside brackets first: [5┬аof┬а(2+4)]=[5┬аof┬а6]=30. Then evaluate 62├╖3=36├╖3=12. The numerator is 30тИТ12+2.
30тИТ12+2=20
Simplify the Denominator
Evaluate inside brackets first: (5тИТ2)=3. Then apply 'of' before division: 3┬аof┬а3├╖9=9├╖9=1.
3┬аof┬а3├╖9=9├╖9=1
Final Calculation
Divide the simplified numerator by the simplified denominator.
120тАЛ=20
B is correct because the step-by-step simplification of the expression following the BODMAS rule yields a final result of 20.
This order of operations (BODMAS/PEMDAS) is foundational for all competitive math; always prioritize expressions inside brackets and the 'of' operator before performing standard division.
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