solve: $\frac{m}{m + 9} = \frac{63}{22}$.

report your answer as a fraction.

provide your answer below:

$m =$

Question

solve: $\frac{m}{m + 9} = \frac{63}{22}$.

report your answer as a fraction.

provide your answer below:

$m =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Equations", "Proportional Reasoning" ], "new_concepts": [], "current_concepts": [ "Solving Rational Equations", "Proportional Reasoning", "Solving Linear Equations" ] } ## Cross-multiply to eliminate fractions $$ 22m = 63(m + 9) $$ ## Distribute and group like terms $$ \begin{aligned} 22m &= 63m + 567 \ -41m &= 567 \end{aligned} $$ ## Solve for m $$ m = -\frac{567}{41} $$ Solve: $\frac{m}{m + 9} = \frac{63}{22}$. Report your answer as a fraction. Provide your answer below: $m =$ $-\frac{567}{41}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Rational Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Cross-multiply to eliminate fractions

Distribute and group like terms

Solve for m

Answer: