At her birthday party, Marcie's guests ate 2/3

Question

of her birthday cake, and her family ate 1/4
of the cake. How much cake was left after her party?
Responses

Answer 1

To find out how much cake was left after the party, we need to calculate the fraction of cake that was eaten.

First, let's calculate the fraction of cake eaten by Marcie's guests, which is 2/3.

Next, let's calculate the fraction of cake eaten by Marcie's family, which is 1/4.

To find the total fraction of cake eaten, we add the fractions together: 2/3 + 1/4.

To do this, we need to find a common denominator for the fractions, which in this case is 12.

2/3 = 8/12 (by multiplying the numerator and denominator by 4)
1/4 = 3/12 (by multiplying the numerator and denominator by 3)

Now that the fractions have the same denominator, we can add them: 8/12 + 3/12 = 11/12.

Therefore, 11/12 of the cake was eaten.

To find out how much cake was left, we subtract the fraction eaten from 1 (the whole cake): 1 - 11/12.

To subtract fractions, they need to have the same denominator, so let's convert 1 to have a denominator of 12: 12/12 - 11/12.

Now, we can subtract the fractions: 12/12 - 11/12 = 1/12.

Therefore, 1/12 of the cake was left after the party.