Kim made three quiches for a party: cheese, spinach, and mushroom. The cheese quiche was cut into 8 equal pieces, the spinach quiche was cut into 16 equal pieces, and the mushroom quiche was cut into 4 equal pieces. At the party, people ate 5 pieces of the cheese, 9 pieces of the spinach, and 2 pieces of the mushroom. Which quiche did people eat the most of? Identify the fractions in numerical order from greatest to least.(1 point)
Responses
10/16, 8/16, 9/16: The cheese quiche was eaten the most.
9/16, 5/8, 2/4: The spinach quiche was eaten the most.
16, 8, 4: The cheese quiche was eaten the most.
5/8, 9/16, 2/4: The cheese quiche was eaten the most.
9/16, 5/8, 2/4: The spinach quiche was eaten the most. But honestly, can you blame them? Spinach makes everyone feel like Popeye!
The correct answer is:
9/16, 5/8, 2/4: The spinach quiche was eaten the most.
To determine which quiche people ate the most of, we need to compare the amounts of each quiche that were consumed.
First, let's calculate the fraction of each quiche that was eaten.
For the cheese quiche:
- It was cut into 8 equal pieces, and 5 pieces were eaten. So the fraction eaten is 5/8.
For the spinach quiche:
- It was cut into 16 equal pieces, and 9 pieces were eaten. So the fraction eaten is 9/16.
For the mushroom quiche:
- It was cut into 4 equal pieces, and 2 pieces were eaten. So the fraction eaten is 2/4, which can be simplified to 1/2.
Now, let's arrange these fractions in numerical order from greatest to least:
9/16, 5/8, 1/2
From this order, we can see that the greatest fraction is 9/16, which corresponds to the spinach quiche. Therefore, the spinach quiche was eaten the most.