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QUESTION IMAGE

write 0.52 as a fraction, reduced to lowest terms.

Question

write 0.52 as a fraction, reduced to lowest terms.

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Place Value",
"Fraction Simplification"
],
"new_concepts": [],
"current_concepts": [
"Decimal to Fraction Conversion",
"Place Value",
"Fraction Simplification"
]
}
</pre_analysis>

<reasoning>

Convert decimal to fraction

\[
0.52 = \frac{52}{100}
\]

Simplify the fraction

\[
\frac{52 \div 4}{100 \div 4} = \frac{13}{25}
\]
</reasoning>

<answer>
Write 0.52 as a fraction, reduced to lowest terms.
<blank>\(\frac{13}{25}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal to Fraction Conversion"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Place Value",
"Fraction Simplification"
],
"new_concepts": [],
"current_concepts": [
"Decimal to Fraction Conversion",
"Place Value",
"Fraction Simplification"
]
}
</pre_analysis>

<reasoning>

Convert decimal to fraction

\[
0.52 = \frac{52}{100}
\]

Simplify the fraction

\[
\frac{52 \div 4}{100 \div 4} = \frac{13}{25}
\]
</reasoning>

<answer>
Write 0.52 as a fraction, reduced to lowest terms.
<blank>\(\frac{13}{25}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal to Fraction Conversion"
]
}
</post_analysis>