divide. write your answer as a fraction

\6\frac{1}{3} \div 1\frac{5}{6}\

Question

divide. write your answer as a fraction

\6\frac{1}{3} \div 1\frac{5}{6}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Dividing Fractions", "Converting Improper Fractions to Mixed Numbers" ], "new_concepts": [], "current_concepts": [ "Dividing Fractions", "Converting Improper Fractions to Mixed Numbers", "Multiplying Fractions" ] } ## Convert mixed numbers to improper fractions $$ \begin{aligned} 6\frac{1}{3} &= \frac{6 \times 3 + 1}{3} = \frac{19}{3} \ 1\frac{5}{6} &= \frac{1 \times 6 + 5}{6} = \frac{11}{6} \end{aligned} $$ ## Perform the division by multiplying by the reciprocal $$ \begin{aligned} \frac{19}{3} \div \frac{11}{6} &= \frac{19}{3} \times \frac{6}{11} \ &= \frac{19 \times 6}{3 \times 11} \ &= \frac{19 \times 2}{1 \times 11} \ &= \frac{38}{11} \end{aligned} $$ ## Convert the improper fraction back to a mixed number $$ \frac{38}{11} = 3\frac{5}{11} $$ $3\frac{5}{11}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Dividing Fractions" ] }

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QUESTION IMAGE

Question

Explanation:

Convert mixed numbers to improper fractions

Perform the division by multiplying by the reciprocal

Convert the improper fraction back to a mixed number

Answer: