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Simplify the given expression. 3+6×(5+4)÷3−7
11
14
15
16
14
Use the BODMAS rule: Solve the bracket (5+4=9), then multiply (6*9=54), then divide (54/3=18), and finally add and subtract (3+18-7).
The expression is 3 + 6 * (5 + 4) / 3 - 7.
BODMAS=(Brackets,Orders,Division,Multiplication,Addition,Subtraction)
Use the BODMAS rule: Solve the bracket (5+4=9), then multiply (6*9=54), then divide (54/3=18), and finally add and subtract (3+18-7).
Performing addition before division (i.e., calculating 9/3 as 3, but adding 3+6 first), which violates the priority of operations.
Solve the brackets
First, evaluate the expression inside the parentheses: 5+4=9.
3+6×9÷3−7
Perform multiplication and division
Moving from left to right, perform multiplication and division: 6×9=54, then 54÷3=18.
3+18−7
Perform addition and subtraction
Finally, add and subtract the values: 3+18=21, then 21−7=14.
14
B is correct because the step-by-step simplification of the expression 3+6×(5+4)÷3−7 using the BODMAS rule yields exactly 14.
Always remember the order of operations as it is the foundation for solving complex algebraic expressions and simplifying fractions in various competitive exams.
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