Final answer:
There is 3/8 of a chocolate bar left at the end of the evening.
Step-by-step explanation:
To determine how much chocolate is left at the end of the evening, we need to subtract the amount of chocolate that was eaten from the initial amount.
At the beginning of the evening, there were 4 and 1/8 (or 33/8) chocolate bars left.
Over the course of the evening, 3 and 3/4 (or 15/4) chocolate bars were eaten.
To find the amount of chocolate left, we subtract the amount eaten from the initial amount:
4 and 1/8 - 3 and 3/4 = 33/8 - 15/4
To subtract fractions, we need a common denominator. The least common multiple of 8 and 4 is 8.
So, we rewrite the fractions with the common denominator:
33/8 - 15/4 = 33/8 - (15/4) x (2/2) = 33/8 - 30/8
Now that we have a common denominator, we can subtract the fractions:
33/8 - 30/8 = (33 - 30)/8 = 3/8
Therefore, there is 3/8 of a chocolate bar left at the end of the evening.