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QUESTION IMAGE

subtract. write the answer as a fraction in lowest terms or as an integ…

Question

subtract. write the answer as a fraction in lowest terms or as an integer.
\\\frac{35}{16} - \frac{8}{16} - \frac{5}{16}\\

  • \\(\frac{1}{2}\\)
  • \\(2\\)
  • \\(\frac{11}{16}\\)
  • \\(\frac{11}{8}\\)

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": [],
"new_concepts": [
"Fraction Subtraction",
"Simplifying Fractions"
],
"current_concepts": [
"Fraction Subtraction",
"Simplifying Fractions"
]
}
</pre_analysis>

<reasoning>

Subtract the numerators

\[
\frac{35}{16} - \frac{8}{16} - \frac{5}{16} = \frac{35 - 8 - 5}{16} = \frac{22}{16}
\]

Simplify the fraction

\[
\frac{22}{16} = \frac{22 \div 2}{16 \div 2} = \frac{11}{8}
\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{1}{2}\)</mcq-option>
<mcq-option>(B) 2</mcq-option>
<mcq-option>(C) \(\frac{11}{16}\)</mcq-option>
<mcq-correct>(D) \(\frac{11}{8}\)</mcq-correct>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Fraction Subtraction"
]
}
</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": [],
"new_concepts": [
"Fraction Subtraction",
"Simplifying Fractions"
],
"current_concepts": [
"Fraction Subtraction",
"Simplifying Fractions"
]
}
</pre_analysis>

<reasoning>

Subtract the numerators

\[
\frac{35}{16} - \frac{8}{16} - \frac{5}{16} = \frac{35 - 8 - 5}{16} = \frac{22}{16}
\]

Simplify the fraction

\[
\frac{22}{16} = \frac{22 \div 2}{16 \div 2} = \frac{11}{8}
\]
</reasoning>

<answer>
<mcq-option>(A) \(\frac{1}{2}\)</mcq-option>
<mcq-option>(B) 2</mcq-option>
<mcq-option>(C) \(\frac{11}{16}\)</mcq-option>
<mcq-correct>(D) \(\frac{11}{8}\)</mcq-correct>
</answer>

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