Question

practice test: fractions and mixed numbers unit 2
question 7
write \\(\frac{9}{4}\\) as a mixed number.

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Mixed Numbers"
],
"new_concepts": [],
"current_concepts": [
"Mixed Numbers",
"Improper Fractions"
]
}
</pre_analysis>

<reasoning>

Divide the numerator by the denominator

\[
9 \div 4 = 2 \text{ with a remainder of } 1
\]

Identify the parts of the mixed number

• Whole number: \(2\)
• Remainder (new numerator): \(1\)
• Denominator: \(4\)

Write the final mixed number

\[
2\frac{1}{4}
\]
</reasoning>

<answer>
Write \(\frac{9}{4}\) as a mixed number.

<blank>\(2\frac{1}{4}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Mixed Numbers"
]
}
</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": [
"Mixed Numbers"
],
"new_concepts": [],
"current_concepts": [
"Mixed Numbers",
"Improper Fractions"
]
}
</pre_analysis>

<reasoning>

Divide the numerator by the denominator

\[
9 \div 4 = 2 \text{ with a remainder of } 1
\]

Identify the parts of the mixed number

• Whole number: \(2\)
• Remainder (new numerator): \(1\)
• Denominator: \(4\)

Write the final mixed number

\[
2\frac{1}{4}
\]
</reasoning>

<answer>
Write \(\frac{9}{4}\) as a mixed number.

<blank>\(2\frac{1}{4}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Mixed Numbers"
]
}
</post_analysis>