We need to understand that there is a total of  ounces of solution in a pot. Out of that solution,  ounces is sugar. If we add  ounces of sugar, we are also changing the volume of the pot. There is a total of  ounces of sugar and a total volume of  ounces.

To find percentage, we do  which is .

Since the problem is focusing on Carol, we will only worry about Carol's contribution to the bill.

The original split on the bill was  with Carol paying the smaller portion. With  parts, each one was . This was originally the amount Carol was responsible for.

With the the ratio of , this meant there are  parts with each being . Carol pays instead .

The difference is then  or . 

To solve this problem, first convert the fraction into a decimal, by dividing one by eight:

Then you can convert the decimal into a percentage, by putting the first two digits in the tens and ones digit of the percent (respectively), and any ensuing digits after a decimal for the percentage. Or in otherwords multiply the decimal by 100:

To solve this problem, first you have to convert the fraction into a decimal, which you can do by dividing three by seven:

The decimal appears to be non-repeating, non-terminating, but that's irrelevant, as the problem cautioned you to round to the nearest tenth of a percent.  You can convert to a percent, the first two digits of the decimal will be the percentage, and the third will be the tenth of a percent place, and the fourth will determine whether you round up or down:

%

To convert, first divide four by three:

 repeating

Now, to convert the decimal into a percentage, the ones digit becomes the hundredes digit of the percentage, and the others follow suit.  As the decimal above is repeating, and repeats at three, when you round to the nearest tenth a percent, you will have a three as your final digit:

%

First write the percent as a decimal. To convert the decimal into a fraction, multiply the decimal by , then place that number over : 

.

Then place  over : .

Therefore,

 .

Then, reduce the fraction to its lowest terms by dividing through by the greatest common factor of  and , which is :

 .

So, Lauren has finished  of her homework.

To convert percentages to fractions, take the value and divide by .

 Let's get rid of the decimal by multiplying top and bottom by  or moving the decimal places  to the right and adding  zeroes to the bottom.

 Then reduce by dividing the bottom by  to get .

To convert percentages to fractions, take the value and divide it by .

Then simplify as follows. 

First convert the complex fraction into an improper fraction.

Multiply the number in front of the fraction with the denominator and then add that to the numerator.

Then to convert percentages to fractions, take the value and divide by . 

This problem is fairly simple.  If we know he scored a , then we know that he got  correct answers.  

Both the numerator and denominator of the expression are divisible by two, so your final, simplified answer should be: 

.