The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued are veggie burgers, and 1/3 of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps?
To find the fraction of barbecued items that are mushroom caps, we need to subtract the fractions of veggie burgers and corn cobs from the total.
We know that 3/8 of the items are veggie burgers and 1/3 of the items are corn cobs. To find the fraction of barbecued items that are mushroom caps, we first need to find the fraction of items that are not veggie burgers or corn cobs.
The fraction of items that are not veggie burgers can be found by subtracting 3/8 from 1 (the whole):
1 - 3/8 = 8/8 - 3/8 = 5/8
Similarly, the fraction of items that are not corn cobs can be found by subtracting 1/3 from 1:
1 - 1/3 = 3/3 - 1/3 = 2/3
Now we can subtract both fractions from 1 to find the fraction of barbecued items that are mushroom caps:
1 - (5/8 + 2/3) = 1 - (15/24 + 16/24) = 1 - 31/24
To simplify, we convert 1 to a fraction with a common denominator of 24:
24/24 - 31/24 = -7/24
Therefore, the fraction of barbecued items that are mushroom caps is -7/24.
3/8 + 1/3 = 9/24 + 8/24 = 17/24 are burgers or corn
so 7/24 are shrooms