Question

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)
9 5 2. The spinach quiche was eaten the most.
16
8 4
5
22: The cheese quiche was eaten the most.
8 16 4
10 8 9 The cheese quiche was eaten the most.
16 16 16
O 16, 8, 4: The cheese quiche was eaten the most.

Answer 1

Comparing fractions with a common denominator reveals that the cheese quiche was eaten the most at the party, with 10/16 of it consumed, followed by the spinach quiche (9/16), and the mushroom quiche (8/16)

Step-by-step explanation:

To determine which quiche was eaten the most, we must compare the fractions of each quiche that were consumed. We do this by examining the number of pieces eaten and the total number of pieces each quiche was cut into:

• Cheese quiche: 5/8 consumed
• Spinach quiche: 9/16 consumed
• Mushroom quiche: 2/4, which simplifies to 1/2 consumed

Now, to compare these fractions, we should have a common denominator. The least common multiple of 8, 16, and 4 is 16. So, let's convert the fractions:

• Cheese quiche: 10/16 consumed (since 5/8 is equivalent to 10/16)
• Spinach quiche: 9/16 consumed
• Mushroom quiche: 8/16 consumed (since 1/2 is equivalent to 8/16)

Now we can easily compare the three fractions:

1. Cheese quiche: 10/16
2. Spinach quiche: 9/16
3. Mushroom quiche: 8/16

The fractions in numerical order from greatest to least are: 10/16 (Cheese), 9/16 (Spinach), and 8/16 (Mushroom). Therefore, the cheese quiche was eaten the most.