question 8 fill in the blank with <, >, or =, \$\\frac{7}{20}\$ ___ \…

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$question 8 fill in the blank with <, >, or =, \$\\frac{7}{20}\$ ___ \…$

Question

question 8

fill in the blank with <, >, or =,
\$\frac{7}{20}\$ ___ \$\frac{3}{10}\$

<
=

Explanation:

Response

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Equivalent Fractions"
],
"new_concepts": [
"Fraction Comparison"
],
"current_concepts": [
"Equivalent Fractions",
"Fraction Comparison"
]
}
</pre_analysis>

Find a common denominator

\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]

Compare the numerators

\[

\begin{aligned} &7 > 6 \\ &\frac{7}{20} > \frac{6}{20} \end{aligned}

\]

Determine the final inequality

\[
\frac{7}{20} > \frac{3}{10}
\]
</reasoning>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Fraction Comparison"
]
}
</post_analysis>

Answer: