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# Select the best answer for the question. What is 9.2 written as a mixed number in simplest form? A. $2 \frac{2}{10}$ B. $9 \frac{1}{2}$ C. $9 \frac{4}{5}$ D. $9 \frac{2}{10}$
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the problem

We need to convert the decimal 9.2 to a mixed number in its simplest form.

Step 3:
: Separate the whole number and decimal parts

- Whole number part: 9 - Decimal part: 0.2

Step 4:
: Convert the decimal to a fraction

0.2 = \frac{2}{10}

Step 5:
: Simplify the fraction

\frac{2}{10} = \frac{1}{5}$$ (divide both numerator and denominator by their greatest common factor, 2)

Step 6:
: Combine the whole number and simplified fraction

9.2 = 9 \frac{1}{5}

Step 7:
: Check the given options

Looking at the choices, we see that $$9 \frac{1}{5}$$ is not among them.

Step 8:
: Verify the other options

- D. $$9 \frac{2}{10}$$ is incorrect (fraction not in simplest form)
- B. 9 \frac{1}{2} is incorrect (wrong fraction)

Final Answer

The correct representation is 9 \frac{1}{5}, which is not among the choices.