Question

which of the following values expresses \\(\frac{8}{20}\\) as a decimal?

select the single best answer:
a. 0.3
b. 0.35
c. 0.4
d. 0.45
e. 0.55

Explanation:

<pre_analysis>
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"concepts_used": [
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"Fraction Equivalence"
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"new_concepts": [],
"current_concepts": [
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</pre_analysis>

<reasoning>

Simplify the fraction

\[
\frac{8}{20} = \frac{8 \div 4}{20 \div 4} = \frac{2}{5}
\]

Convert to a decimal

\[
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} = 0.4
\]
</reasoning>

<answer>
<mcq-option>A. 0.3</mcq-option>
<mcq-option>B. 0.35</mcq-option>
<mcq-correct>C. 0.4</mcq-correct>
<mcq-option>D. 0.45</mcq-option>
<mcq-option>E. 0.55</mcq-option>
</answer>

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

Answer:

<pre_analysis>
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"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
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"concepts_used": [
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"Fraction Equivalence"
],
"new_concepts": [],
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]
}
</pre_analysis>

<reasoning>

Simplify the fraction

\[
\frac{8}{20} = \frac{8 \div 4}{20 \div 4} = \frac{2}{5}
\]

Convert to a decimal

\[
\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} = 0.4
\]
</reasoning>

<answer>
<mcq-option>A. 0.3</mcq-option>
<mcq-option>B. 0.35</mcq-option>
<mcq-correct>C. 0.4</mcq-correct>
<mcq-option>D. 0.45</mcq-option>
<mcq-option>E. 0.55</mcq-option>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Fraction to Decimal Conversion"
]
}
</post_analysis>