You have a cake that was cut into 18 pieces. At the end of the party one half of the cake was left. Then you friend took 5 pieces home for her family. What fraction of the cake do you still have?
9 - 5 = 4
4/18 = 2/9
To determine the fraction of the cake that you still have, we need to subtract the number of pieces your friend took (5) from the original 18 pieces.
Step 1: Original number of pieces - Friend's pieces
18 - 5 = 13
So you still have 13 pieces of the cake.
Step 2: Convert 13 pieces into a fraction of the whole cake.
Since there were originally 18 pieces, we can express 13 pieces as a fraction by putting it over the total number of pieces.
13/18
Therefore, you still have 13/18 of the cake remaining.
To find out what fraction of the cake you still have, we first need to determine how many pieces are remaining after your friend took 5 pieces home.
Since the cake was initially cut into 18 pieces, half of the cake would be represented by 18/2 = 9 pieces. This means that you initially had 9 pieces left.
Then, your friend took 5 pieces home, leaving you with 9 - 5 = 4 pieces.
To express this as a fraction, we can write it as 4/18. However, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2 in this case.
Dividing both 4 and 18 by 2, we get 2/9.
Therefore, you still have 2/9 of the cake remaining.