Question

write 5.5 as a simplified mixed number.

Explanation:

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

<reasoning>

Identify the whole number and decimal parts

\[
5.5 = 5 + 0.5
\]

Convert the decimal part to a fraction

\[
0.5 = \frac{5}{10}
\]

Simplify the fraction and write as a mixed number

\[
\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \implies 5\frac{1}{2}
\]
</reasoning>

<answer>
\(5\frac{1}{2}\)
</answer>

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

Answer:

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

<reasoning>

Identify the whole number and decimal parts

\[
5.5 = 5 + 0.5
\]

Convert the decimal part to a fraction

\[
0.5 = \frac{5}{10}
\]

Simplify the fraction and write as a mixed number

\[
\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2} \implies 5\frac{1}{2}
\]
</reasoning>

<answer>
\(5\frac{1}{2}\)
</answer>

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