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Q
QuestionMathematics

"What is 37 divided by 19 in simplest form? A. 2 B. 2.05263157895 C. 1.94736842105 D. 1.95"
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Answer

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Step 1:
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2:
: Perform the division

\frac{37}{19} = 1.94736842105

Step 3:
: Analyze the given options

Let's compare the calculated value with the provided choices: - Option A: 2 (incorrect) - Option B: 2.05263157895 (incorrect) - Option C: 1.94736842105 (matches our calculation exactly) - Option D: 1.95 (close, but not precise)

Step 4:
: Verify the calculation

1.94736842105 \times 19 = 37
To double-check:

Step 5:
: Simplify the fraction

The fraction $$\frac{37}{19}$$ cannot be simplified further as 37 and 19 are both prime numbers.

Final Answer

Key insights: - The division results in a repeating decimal - The exact value is precisely 1.94736842105 - The fraction \frac{37}{19} is in its simplest form