simplify the expression using the order of operations.

\\frac{8(8+7)+3(5-1)}{15(8-3)-4^3}\

\\frac{8(8+7)+3(5-1)}{15(8-3)-4^3} = \square\

Question

simplify the expression using the order of operations.

\\frac{8(8+7)+3(5-1)}{15(8-3)-4^3}\

\\frac{8(8+7)+3(5-1)}{15(8-3)-4^3} = \square\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Order of Operations", "Evaluating Powers" ], "new_concepts": [], "current_concepts": [ "Order of Operations", "Evaluating Powers", "Simplifying Fractions" ] } ## Simplify the numerator $$ \begin{aligned} 8(8+7) + 3(5-1) &= 8(15) + 3(4) \ &= 120 + 12 \ &= 132 \end{aligned} $$ ## Simplify the denominator $$ \begin{aligned} 15(8-3) - 4^3 &= 15(5) - 64 \ &= 75 - 64 \ &= 11 \end{aligned} $$ ## Divide the numerator by the denominator $$ \frac{132}{11} = 12 $$ Simplify the expression using the order of operations. $\frac{8(8+7)+3(5-1)}{15(8-3)-4^3} =$ 12 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the numerator

Simplify the denominator

Divide the numerator by the denominator

Answer: