Question

edwards estate is to be split equally among his three heirs. if his estate is worth \\$2\frac{3}{5} million, how much will each heir inherit?

• each heir will inherit \\$\frac{13}{15} million.
• each heir will inherit \\$\frac{8}{15} million.
• each heir will inherit \\$\frac{14}{15} million.
• each heir will inherit \\$\frac{11}{15} million.

Explanation:

<pre_analysis>
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"step_cot",
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"concepts_used": [],
"new_concepts": [
"Fraction Division",
"Mixed Numbers"
],
"current_concepts": [
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}
</pre_analysis>

<reasoning>

Convert mixed number to improper fraction

\[
2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}
\]

Divide by the number of heirs

\[
\frac{13}{5} \div 3 = \frac{13}{5} \times \frac{1}{3} = \frac{13}{15}
\]

State final inheritance amount

\[
\text{Each heir inherits } \$\frac{13}{15} \text{ million.}
\]
</reasoning>

<answer>
<mcq-correct>Each heir will inherit \$\(\frac{13}{15}\) million.</mcq-correct>
<mcq-option>Each heir will inherit \$\(\frac{8}{15}\) million.</mcq-option>
<mcq-option>Each heir will inherit \$\(\frac{14}{15}\) million.</mcq-option>
<mcq-option>Each heir will inherit \$\(\frac{11}{15}\) million.</mcq-option>
</answer>

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

Answer:

<pre_analysis>
{
"quality": "clear",
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"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [],
"new_concepts": [
"Fraction Division",
"Mixed Numbers"
],
"current_concepts": [
"Mixed Numbers",
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]
}
</pre_analysis>

<reasoning>

Convert mixed number to improper fraction

\[
2\frac{3}{5} = \frac{2 \times 5 + 3}{5} = \frac{13}{5}
\]

Divide by the number of heirs

\[
\frac{13}{5} \div 3 = \frac{13}{5} \times \frac{1}{3} = \frac{13}{15}
\]

State final inheritance amount

\[
\text{Each heir inherits } \$\frac{13}{15} \text{ million.}
\]
</reasoning>

<answer>
<mcq-correct>Each heir will inherit \$\(\frac{13}{15}\) million.</mcq-correct>
<mcq-option>Each heir will inherit \$\(\frac{8}{15}\) million.</mcq-option>
<mcq-option>Each heir will inherit \$\(\frac{14}{15}\) million.</mcq-option>
<mcq-option>Each heir will inherit \$\(\frac{11}{15}\) million.</mcq-option>
</answer>

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