Question

simplify the fraction to lowest terms. write the answer as a fraction or an integer.

\\(-\frac{70}{110}\\)

• \\(-\frac{7}{11}\\)
• \\(\frac{7}{11}\\)
• \\(\frac{7}{110}\\)
• \\(-\frac{7}{110}\\)

Explanation:

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<reasoning>

Identify the given fraction and its sign

\[
-\frac{70}{110}
\]

Find the greatest common divisor of the numerator and denominator

\[
\gcd(70, 110) = 10
\]

Divide both numerator and denominator by their greatest common divisor

\[
-\frac{70 \div 10}{110 \div 10} = -\frac{7}{11}
\]
</reasoning>

<answer>
<mcq-correct>(A) \(-\frac{7}{11}\)</mcq-correct>
<mcq-option>(B) \(\frac{7}{11}\)</mcq-option>
<mcq-option>(C) \(\frac{7}{110}\)</mcq-option>
<mcq-option>(D) \(-\frac{7}{110}\)</mcq-option>
</answer>

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

Answer:

<pre_analysis>
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"step_cot",
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</pre_analysis>

<reasoning>

Identify the given fraction and its sign

\[
-\frac{70}{110}
\]

Find the greatest common divisor of the numerator and denominator

\[
\gcd(70, 110) = 10
\]

Divide both numerator and denominator by their greatest common divisor

\[
-\frac{70 \div 10}{110 \div 10} = -\frac{7}{11}
\]
</reasoning>

<answer>
<mcq-correct>(A) \(-\frac{7}{11}\)</mcq-correct>
<mcq-option>(B) \(\frac{7}{11}\)</mcq-option>
<mcq-option>(C) \(\frac{7}{110}\)</mcq-option>
<mcq-option>(D) \(-\frac{7}{110}\)</mcq-option>
</answer>

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