To find out how much of Jasper's card album is still empty, we first need to calculate the total fraction of the album that is already filled with cards.
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Jasper has filled \(\frac{42}{100}\) of the album with football cards.
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He has filled \(\frac{3}{10}\) of the album with baseball cards. To make it easier to add this to the football cards, we can convert \(\frac{3}{10}\) to a fraction with a denominator of 100: \[ \frac{3}{10} = \frac{3 \times 10}{10 \times 10} = \frac{30}{100} \]
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Next, we add the two fractions: \[ \frac{42}{100} + \frac{30}{100} = \frac{42 + 30}{100} = \frac{72}{100} \]
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Now, to find out how much of the album is still empty, we subtract the filled fraction from the whole: \[ 1 - \frac{72}{100} = \frac{100}{100} - \frac{72}{100} = \frac{100 - 72}{100} = \frac{28}{100} \]
Thus, the fraction of the album that is still empty is \(\frac{28}{100}\).
The correct response is: \[ \frac{28}{100} \]