Final answer:
Aaliyah ate 1/8 more of the mini-pizza than James after converting their consumed amounts to a common denominator and subtracting James's share from Aaliyah's.
Step-by-step explanation:
To calculate how much more Aaliyah ate compared to James, we need to compare the fractions of the mini-pizzas they each consumed. Aaliyah ate 7/8 of her mini-pizza, while James ate 3/4 of his mini-pizza. To make a comparison, we have to ensure both fractions have the same denominator.
Since the least common denominator for 4 and 8 is 8, we convert James's fraction from 3/4 to 6/8 by multiplying both the numerator and the denominator by 2. Now we can compare the amounts:
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- Aaliyah: 7/8 of a mini-pizza
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- James: 6/8 of a mini-pizza
To find out how much more Aaliyah ate, we subtract James's portion from Aaliyah's:
7/8 - 6/8 = 1/8
Therefore, Aaliyah ate 1/8 more of the mini-pizza than James.