In this math problem, we calculate the portion of the birthday cake Gracia eats after dividing it into specified fractions.
Gracia decides to split her birthday cake into different portions: one-sixth for Susana, one-eighth for Tania, one-fourth for Nelson, and the rest for himself. To figure out what portion Gracia ends up eating, we need to calculate the remaining fraction after the specified portions are taken. We can do this by finding the common denominator of 6, 8, and 4, which is 24. Therefore, the fractions become 4/24 for Susana, 3/24 for Tania, 6/24 for Nelson, leaving 11/24 for Gracia. So, Gracia ends up eating 11 out of 24 parts of the birthday cake.
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