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QUESTION IMAGE

which of the following values expresses \\(2\\frac{50}{125}\\) as a dec…

Question

which of the following values expresses \\(2\frac{50}{125}\\) as a decimal?

select the single best answer:
a. 2
b. 2.2
c. 2.4
d. 2.5
e. 3

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

<reasoning>

Simplify the fractional part

\[
\frac{50}{125} = \frac{50 \div 25}{125 \div 25} = \frac{2}{5}
\]

Convert the fraction to a decimal

\[
\frac{2}{5} = 0.4
\]

Combine the whole number and decimal

\[
2 + 0.4 = 2.4
\]
</reasoning>

<answer>
<mcq-option>A. 2</mcq-option>
<mcq-option>B. 2.2</mcq-option>
<mcq-correct>C. 2.4</mcq-correct>
<mcq-option>D. 2.5</mcq-option>
<mcq-option>E. 3</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": [],
"current_concepts": [
"Fraction to Decimal Conversion",
"Fraction Equivalence",
"Mixed Numbers"
]
}
</pre_analysis>

<reasoning>

Simplify the fractional part

\[
\frac{50}{125} = \frac{50 \div 25}{125 \div 25} = \frac{2}{5}
\]

Convert the fraction to a decimal

\[
\frac{2}{5} = 0.4
\]

Combine the whole number and decimal

\[
2 + 0.4 = 2.4
\]
</reasoning>

<answer>
<mcq-option>A. 2</mcq-option>
<mcq-option>B. 2.2</mcq-option>
<mcq-correct>C. 2.4</mcq-correct>
<mcq-option>D. 2.5</mcq-option>
<mcq-option>E. 3</mcq-option>
</answer>

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