compare these two numbers.
$\frac{25}{4}$ ? $6.\bar{4}$

Question

compare these two numbers.
$\frac{25}{4}$  ?  $6.\bar{4}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Fraction to Decimal Conversion", "Comparing Rational Numbers" ], "current_concepts": [ "Fraction to Decimal Conversion", "Comparing Rational Numbers", "Repeating Decimals" ] } ## Convert the fraction to a decimal $$ \frac{25}{4} = 6.25 $$ ## Represent the repeating decimal $$ 6.\bar{4} = 6.444\dots $$ ## Compare the decimal values $$ 6.25 < 6.444\dots $$

(A) $>$

(B) $<$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Comparing Rational Numbers" ] }

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QUESTION IMAGE

Question

Explanation:

Convert the fraction to a decimal

Represent the repeating decimal

Compare the decimal values

Answer: