\\frac{12}{20}\
\\frac{15}{20} \frac{12}{20}\
so, $4 \frac{3}{4} \square 4 \frac{3}{5}$.

Question

\\frac{12}{20}\
\\frac{15}{20} > \frac{12}{20}\
so, $4 \frac{3}{4} \square 4 \frac{3}{5}$.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Equivalent Fractions" ], "new_concepts": [ "Comparing Mixed Numbers" ], "current_concepts": [ "Equivalent Fractions", "Comparing Mixed Numbers" ] } ## Convert fractional parts to common denominator $$ \begin{aligned} \frac{3}{4} &= \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \ \frac{3}{5} &= \frac{3 \times 4}{5 \times 4} = \frac{12}{20} \end{aligned} $$ ## Compare the fractions $$ \frac{15}{20} > \frac{12}{20} \implies \frac{3}{4} > \frac{3}{5} $$ ## Compare the mixed numbers $$ 4 \frac{3}{4} > 4 \frac{3}{5} $$ $$\frac{15}{20} > \frac{12}{20}$$ So, $4 \frac{3}{4}$ $>$ $4 \frac{3}{5}$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Comparing Mixed Numbers" ] }

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QUESTION IMAGE

Question

Explanation:

Convert fractional parts to common denominator

Compare the fractions

Compare the mixed numbers

Answer: