Final answer:
Danielle's 44 friends would each get 1/132 of the leftover birthday cake if they shared it equally. The leftover 1/3 of the cake is divided by 44 to find the portion for each friend.
Step-by-step explanation:
The question asks how much of a birthday cake would each person get if a 1/3 leftover is shared equally among 44 friends. To find the answer, we need to divide the leftover cake portion by the number of friends.
To calculate this, the fraction representing the leftover cake (1/3) should be divided by 44. This division can be represented as a fraction: 1/3 divided by 44, which is equal to 1/3 * 1/44. We multiply the denominators and keep the numerator the same. Thus, each person would get 1/132 of the cake if shared equally.