12. For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate of the cake, and her friends ate of the cake. How much of the cake was left?(1 point)
1 1/2
1/2
3/4
5/6
The answer cannot be determined without knowing the specific amounts eaten by Aliyah's siblings and friends.
12. For Aliyah’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 of the cake was left?(1 point)
1 1/2
1/2
3/4
5/6
To find out how much of the cake was left, we need to subtract the amount eaten from the total amount of the cake.
The amount eaten by Aliyah's siblings is 1/4 of the cake.
The amount eaten by Aliyah's friends is 2/3 of the cake.
The total amount eaten is 1/4 + 2/3.
To add these fractions, we need to find a common denominator. The common denominator for 4 and 3 is 12.
1/4 is the same as 3/12.
2/3 is the same as 8/12.
So the total amount eaten is 3/12 + 8/12, which equals 11/12.
To find out how much of the cake was left, we subtract the total amount eaten from 1 (the whole cake).
1 - 11/12 = 12/12 - 11/12 = 1/12.
So, 1/12 of the cake was left.
To find out how much cake was left, we need to subtract the amount eaten from the total. Let's calculate it step by step.
1. Aliyah's siblings ate 1/4 of the cake.
2. Aliyah's friends ate 1/3 of the remaining cake.
3. To find out how much is left, we need to subtract the combined fraction from the total.
- The combined fraction is 1/4 + 1/3.
- To combine fractions with different denominators, we need a common denominator. The least common multiple (LCM) of 4 and 3 is 12.
- Let's convert both fractions to a denominator of 12:
- 1/4 becomes 3/12
- 1/3 becomes 4/12
- Now we can add the fractions: 3/12 + 4/12 = 7/12.
4. To find the amount of cake left, we need to subtract the combined fraction from the total: 1 - 7/12 = 5/12.
So, 5/12 of the cake was left.