Evaluate the expression: 18 / 1/8 \11 + 16 − (10 + 7 − 6+8)

Question

ScanSolve AI Tutor · Accepted Answer

Here's how to solve the expression step-by-step using the order of operations (BODMAS/PEMDAS):

The expression is:

18 \div \frac{1}{8} \{11 + 16 - (10 + 7 - \overline{6+8})\}

Evaluate the expression under the vinculum (the bar over $6+8$ ).
$\overline{6+8} = 14$
Substitute this value back into the innermost parentheses and evaluate the expression inside them.
$(10 + 7 - 14)$ $(17 - 14)$ $= 3$
Substitute this value back into the braces and evaluate the expression inside them.
$\{11 + 16 - 3\}$ $\{27 - 3\}$ $= 24$
Now the expression simplifies to
$18 \div \frac{1}{8} \times 24$
Perform division and multiplication from left to right. First, perform the division.
$18 \div \frac{1}{8} = 18 \times 8$ $18 \times 8 = 144$
Finally, perform the multiplication.
$144 \times 24$ $144 \times 24 = 3456$
The final answer is $\text{3456}$ .

Evaluate the expression: 18 / (1)/(8) \11 + 16 - (10 + 7 - 6+8)\