At her birthday party, Marcie's guests ate 2/3
of her birthday cake, and her family ate 1/4
of the cake. How much cake was left after her party?
Responses
To find out how much cake was left after the party, we need to subtract the amount of cake that was eaten from the total amount of cake.
Since Marcie's guests ate 2/3 of the cake, that means there was 1 - 2/3 = 1/3 of the cake left.
And since her family ate 1/4 of the cake, we need to subtract 1/4 from the 1/3 that was already left.
To do this, we'll subtract the fractions: 1/3 - 1/4.
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common denominator between 3 and 4 is 12.
So let's convert both fractions to have a denominator of 12:
1/3 = (1/3) * (4/4) = 4/12
1/4 = (1/4) * (3/3) = 3/12
Now we can subtract them: 4/12 - 3/12 = 1/12.
Therefore, there was 1/12 of the cake left after the party.
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.
To find out how much cake was left after the party, we need to subtract the portions eaten from the total cake.
Step 1: Add the fractions of cake eaten by the guests and Marcie's family.
2/3 + 1/4 = 8/12 + 3/12 = 11/12
Step 2: Subtract the fraction of cake eaten from 1 (since a whole cake is represented by 1).
1 - 11/12 = 12/12 - 11/12 = 1/12
Therefore, there was 1/12 of the cake left after the party.