Evaluate the given expression. $$\{15 \times 32 \div 2\} \div \{75 \div 5\}$$
16
To solve this expression, we apply the order of operations (BODMAS/PEMDAS), working from the innermost groupings outward.
Calculate the value of $\{15 \times 32 \div 2\}$. Since multiplication and division have the same priority, we calculate from left to right:
Multiplication: $15 \times 32 = 480$
Division: $480 \div 2 = \mathbf{240}$
Calculate the value of $\{75 \div 5\}$:
Division: $75 \div 5 = \mathbf{15}$
Now, divide the result of the first set by the result of the second set:
$$240 \div 15 = \mathbf{16}$$
$$\{15 \times 32 \div 2\} \div \{75 \div 5\}$$
$$\{480 \div 2\} \div \{15\}$$
$$240 \div 15 = 16$$
Final Answer:
The result is 16.
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