Question

solve (in your mind):

\\x \div \frac{1}{3} = 6\\

answer

example: \\(x=3; x=5\\)

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction Division",
"Solving Algebraic Equations"
],
"new_concepts": [],
"current_concepts": [
"Fraction Division",
"Solving Algebraic Equations"
]
}
</pre_analysis>

<reasoning>

Rewrite division as multiplication

\[
x \cdot 3 = 6
\]

Solve for x

\[
x = \frac{6}{3} = 2
\]
</reasoning>

<answer>
Solve (in your mind):
\(x \div \frac{1}{3} = 6\)

Answer:

<blank>\(x = 2\)</blank>
</answer>

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