Sure! Let's break it down step by step. Imagine the Freeman family is having a picnic in the park, and they are cooking different foods on the barbecue grill. They have veggie burgers, corn cobs, and mushroom caps to cook.
First, let's look at the veggie burgers. If 3 out of 8 items cooked on the grill are veggie burgers, we can think of it this way - if they grill 8 items in total, 3 of them will be veggie burgers.
Next, let's consider the corn cobs. If 1 out of 3 items cooked are corn cobs, it means that for every 3 items grilled, 1 will be a corn cob.
Now, let's focus on the mushroom caps. Since we already know that 3 out of 8 items are veggie burgers and 1 out of 3 items are corn cobs, we need to figure out how many items are mushroom caps. To do this, we can subtract the items we already know - 3 veggie burgers and 1 corn cob - from the total items (8).
Therefore, if 3/8 of the items are veggie burgers and 1/3 of the items are corn cobs, the fraction of barbecued items that are mushroom caps would be 4 out of 8, which simplifies to 1/2. This means half of the items cooked on the grill are mushroom caps!