Mrs. Keegan made three cookie cakes for a party: chocolate, peanut butter and sugar. The chocolate cookie cake was cut into 8 equal pieces, the peanut butter cookie cake was cut into 16 equal pieces, and the Sugar Cookie Cake was cut into 4 equal pieces. At the party, people ate 5 pieces of the Chocolate, 9 pieces of the peanut butter, and 2 pieces of the sugar. Which cookie cake did people eat the most of? Identify the fractions in numerical order from greatest to least. NR 3.4
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1 point
⅝, 9/16, 2/4 : The Sugar cookie cake was eaten the most.
9/16 , ⅝ , 2/4: The peanut butter cookie cake was eaten the most.
16, 8, 4: The peanut butter cookie was eaten the most.
⅝ , 9/16 , 2/4: The chocolate cookie was eaten the most.
⅝, 9/16, 2/4 : The chocolate cookie cake was eaten the most.
To identify which cookie cake people ate the most, let's compare the fractions of each cookie cake.
The chocolate cookie cake was cut into 8 equal pieces, and people ate 5 pieces. Thus, the fraction of chocolate cookie cake eaten is 5/8.
The peanut butter cookie cake was cut into 16 equal pieces, and people ate 9 pieces. So, the fraction of peanut butter cookie cake eaten is 9/16.
The sugar cookie cake was cut into 4 equal pieces, and people ate 2 pieces. Therefore, the fraction of sugar cookie cake eaten is 2/4, which can be simplified to 1/2.
Now, let's order the fractions from greatest to least: 9/16, 5/8, and 1/2.
Therefore, the correct answer is: 9/16, 5/8, 1/2.
To find out which cookie cake people ate the most, we need to compare the fractions of each cake that were eaten.
First, let's calculate the fractions of each cake that were eaten:
For the chocolate cookie cake, 5 pieces out of the 8 total pieces were eaten. So the fraction of the chocolate cake that was eaten is 5/8.
For the peanut butter cookie cake, 9 pieces out of the 16 total pieces were eaten. So the fraction of the peanut butter cake that was eaten is 9/16.
For the sugar cookie cake, 2 pieces out of the 4 total pieces were eaten. So the fraction of the sugar cake that was eaten is 2/4, which can also be simplified to 1/2.
Now, let's compare the fractions:
1/2 (sugar), 9/16 (peanut butter), 5/8 (chocolate)
To determine which fraction is the greatest, we can convert them into decimals:
1/2 ≈ 0.5
9/16 ≈ 0.5625
5/8 ≈ 0.625
From the decimals, we can see that 0.625 is the largest, which corresponds to the fraction 5/8. Therefore, the chocolate cookie cake was eaten the most.
So the correct answer is: 5/8, 9/16, 1/2 : The chocolate cookie cake was eaten the most.