For Aaliyah‘s graduation party her mom made her a chocolate cake her siblings ate 1/4 of the cake and her friends ate 2/3 of the cake how much cake was left
To find out how much cake was left, we need to subtract the amount eaten by Aaliyah's siblings and friends from the original cake.
Aaliyah's siblings ate 1/4 of the cake, which means 1 - 1/4 = 3/4 of the cake was left after they ate.
Aaliyah's friends ate 2/3 of the cake, which means 1 - 2/3 = 1/3 of the cake was left after they ate.
To find out the amount of cake left, we need to find the common denominator of 3/4 and 1/3, which is 12.
Converting 3/4 to the denominator of 12, we get 3/4 * 3/3 = 9/12.
Converting 1/3 to the denominator of 12, we get 1/3 * 4/4 = 4/12.
Now we can subtract 9/12 and 4/12: 9/12 - 4/12 = 5/12.
Therefore, 5/12 of the cake was left after Aaliyah's siblings and friends ate.
To find out how much cake was left, we need to subtract the amount of cake that Aaliyah's siblings and friends ate from the original cake.
Let's say the original amount of cake was represented by "1."
Aaliyah's siblings ate 1/4 of the cake, which is equal to (1/4) * 1 = 1/4 of the cake.
Aaliyah's friends ate 2/3 of the cake, which is equal to (2/3) * 1 = 2/3 of the cake.
To find the amount of cake left, we subtract the sum of what Aaliyah's siblings and friends ate from the original cake:
1 - (1/4 + 2/3)
First, let's find a common denominator for 4 and 3, which is 12.
Then, convert 1 to 12/12:
12/12 - (3/12 + 8/12)
Now, we can add the fractions:
12/12 - 11/12
This gives us:
1/12
Therefore, there is 1/12 of the cake left.