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138 divide [35-{53-(89-72 divide 9 xx 6)...

`138 divide [35-{53-(89-72 divide 9 xx 6)}]=?`

A

2

B

6

C

23

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 138 \div [35 - \{53 - (89 - 72 \div 9 \times 6)\}]\), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Start with the innermost bracket**: \[ 89 - 72 \div 9 \times 6 \] According to BODMAS, we first perform the division: \[ 72 \div 9 = 8 \] Now, substitute this back into the expression: \[ 89 - 8 \times 6 \] 2. **Next, perform the multiplication**: \[ 8 \times 6 = 48 \] Substitute this back: \[ 89 - 48 \] 3. **Now, perform the subtraction**: \[ 89 - 48 = 41 \] Now, substitute this result back into the expression: \[ 138 \div [35 - \{53 - 41\}] \] 4. **Now simplify the next bracket**: \[ 53 - 41 = 12 \] Substitute this back: \[ 138 \div [35 - 12] \] 5. **Now perform the subtraction in the bracket**: \[ 35 - 12 = 23 \] Substitute this back: \[ 138 \div 23 \] 6. **Finally, perform the division**: \[ 138 \div 23 = 6 \] ### Final Answer: The final answer is \( 6 \).
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