To convert the mixed number "2 whole 8 over 32" to an improper fraction, you follow these steps:
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Convert the whole number to a fraction: The whole number is 2, which can be expressed as \( \frac{2 \times 32}{32} = \frac{64}{32} \).
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Add the fraction: You have \( \frac{64}{32} + \frac{8}{32} = \frac{64 + 8}{32} = \frac{72}{32} \).
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Simplify the fraction: The greatest common divisor of 72 and 32 is 8. Therefore, you divide both the numerator and the denominator by 8: \[ \frac{72 \div 8}{32 \div 8} = \frac{9}{4}. \]
So, "2 whole 8 over 32" can be expressed as the improper fraction \( \frac{9}{4} \).