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write the fraction as a decimal. \\-\\frac{207}{500} = \\ \\

Question

write the fraction as a decimal.

\\-\frac{207}{500} = \\ \\

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": [
"Decimal to Fraction Conversion",
"Signed Numbers"
],
"new_concepts": [
"Fraction to Decimal Conversion"
],
"current_concepts": [
"Decimal to Fraction Conversion",
"Signed Numbers",
"Fraction to Decimal Conversion"
]
}
</pre_analysis>

<reasoning>

Identify the given fraction and sign

\[
-\frac{207}{500}
\]

Convert the fraction to have a power of ten denominator

\[
-\frac{207 \times 2}{500 \times 2} = -\frac{414}{1000}
\]

Convert the fraction to decimal form

\[
-\frac{414}{1000} = -0.414
\]
</reasoning>

<answer>
Write the fraction as a decimal.

\(-\frac{207}{500} =\) <blank>-0.414</blank>
</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",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Decimal to Fraction Conversion",
"Signed Numbers"
],
"new_concepts": [
"Fraction to Decimal Conversion"
],
"current_concepts": [
"Decimal to Fraction Conversion",
"Signed Numbers",
"Fraction to Decimal Conversion"
]
}
</pre_analysis>

<reasoning>

Identify the given fraction and sign

\[
-\frac{207}{500}
\]

Convert the fraction to have a power of ten denominator

\[
-\frac{207 \times 2}{500 \times 2} = -\frac{414}{1000}
\]

Convert the fraction to decimal form

\[
-\frac{414}{1000} = -0.414
\]
</reasoning>

<answer>
Write the fraction as a decimal.

\(-\frac{207}{500} =\) <blank>-0.414</blank>
</answer>

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