Question

which of the following values expresses \\(\frac{10}{16}\\) as a decimal, rounded to three decimal places?

select the single best answer:
a. 0.0625
b. 0.625
c. 0.725
d. 0.825
e. 1.625

Explanation:

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

<reasoning>

Simplify the fraction

\[
\frac{10}{16} = \frac{5}{8}
\]

Convert to decimal

\[
\frac{5}{8} = 5 \div 8 = 0.625
\]

Round to three decimal places

\[
0.625 \approx 0.625
\]
</reasoning>

<answer>
<mcq-option>A. 0.0625</mcq-option>
<mcq-correct>B. 0.625</mcq-correct>
<mcq-option>C. 0.725</mcq-option>
<mcq-option>D. 0.825</mcq-option>
<mcq-option>E. 1.625</mcq-option>
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Fraction to Decimal Conversion",
"Fraction Equivalence"
],
"new_concepts": [
"Decimal Rounding"
],
"current_concepts": [
"Fraction Equivalence",
"Fraction to Decimal Conversion",
"Decimal Rounding"
]
}
</pre_analysis>

<reasoning>

Simplify the fraction

\[
\frac{10}{16} = \frac{5}{8}
\]

Convert to decimal

\[
\frac{5}{8} = 5 \div 8 = 0.625
\]

Round to three decimal places

\[
0.625 \approx 0.625
\]
</reasoning>

<answer>
<mcq-option>A. 0.0625</mcq-option>
<mcq-correct>B. 0.625</mcq-correct>
<mcq-option>C. 0.725</mcq-option>
<mcq-option>D. 0.825</mcq-option>
<mcq-option>E. 1.625</mcq-option>
</answer>

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