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Simplify: [76×(24÷3)+2×18÷644]×220
16
10
4
20
10
Solve innermost parentheses first, then evaluate the curly bracket, then perform division and finally multiplication. Focus on keeping the division operation inside the square bracket simple.
Expression: [{76 * (24 / 3) + 2 * 18} / 644] * (20 / 2)
BODMAS:Brackets,Orders,Division,Multiplication,Addition,Subtraction
Solve innermost parentheses first, then evaluate the curly bracket, then perform division and finally multiplication. Focus on keeping the division operation inside the square bracket simple.
Failing to follow the correct order of operations (BODMAS), specifically adding 2 * 18 to 76 * 8 before completing the multiplication inside the braces.
Simplify inside the inner parentheses
First, solve the inner division (24÷3)=8. Then, multiply 76×8=608 and 2×18=36.
608+36=644
Evaluate the square bracket
Divide the sum inside the curly braces by 644: 644÷644=1.
644÷644=1
Final multiplication
Now multiply the result of the square bracket by the remaining fraction (20÷2)=10.
1×10=10
B is correct because the expression simplifies to 1 * 10, which equals 10.
Always apply BODMAS/PEMDAS in competitive exams; complex-looking expressions are usually designed to simplify to a single integer.
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