To simplify \( 243 \frac{3}{5} \), first convert the mixed number to an improper fraction:
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Multiply the whole number (243) by the denominator (5): \[ 243 \times 5 = 1215 \]
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Add the numerator (3): \[ 1215 + 3 = 1218 \]
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Therefore, the improper fraction is: \[ \frac{1218}{5} \]
To look for simplifications, we can divide 1218 by 5: \[ 1218 \div 5 = 243.6 \]
However, since the responses are whole numbers, we can directly check if 243 can be simplified:
243 can base down its root as: \[ 243 = 3^5 \] So possible simplifications, based on whole numbers out of the responses given:
- 81 = \( 3^4 \) (dividing \( 3^5 \) by \( 3^1 \))
- 27 = \( 3^3 \) (dividing \( 3^5 \) by \( 3^2 \))
- 9 = \( 3^2 \)
- 3 = \( 3^1 \)
However, looking to keep it related to 243 directly: Clearly, 243 can relate to:
The simplifications leading to 81 is the highest relate division possible from the list provided. Hence:
The best answer from the given choices is: 81.
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