how much of the circle is shaded? write your answer as a fraction in simplest form.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Subtracting Fractions", "Least Common Denominator", "Simplifying Fractions" ], "new_concepts": [ "Fraction Circle Models" ], "current_concepts": [ "Subtracting Fractions", "Least Common Denominator", "Simplifying Fractions", "Fraction Circle Models" ] } ## Represent the whole circle as a fraction $$ \text{Whole} = 1 $$ ## Subtract the unshaded parts from the whole $$ \begin{aligned} \text{Shaded Fraction} &= 1 - \frac{1}{2} - \frac{1}{9} \ &= \frac{18}{18} - \frac{9}{18} - \frac{2}{18} \end{aligned} $$ ## Calculate the final simplified fraction $$ \text{Shaded Fraction} = \frac{18 - 9 - 2}{18} = \frac{7}{18} $$ How much of the circle is shaded? Write your answer as a fraction in simplest form. $\frac{7}{18}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Arithmetic", "Fraction Operations" ] }

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Explanation:

Represent the whole circle as a fraction

Subtract the unshaded parts from the whole

Calculate the final simplified fraction

Answer: