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

\(\displaystyle 0.125\)

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:

\(\displaystyle 0.125 \cdot 100 =12.5 \rightarrow 12.5\%\)

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

\(\displaystyle .42857\)

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:

\(\displaystyle 42.9\)%

To convert, first divide four by three:

\(\displaystyle 1.3333\) 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:

\(\displaystyle 133.3\)%

First write the percent as a decimal. To convert the decimal into a fraction, multiply the decimal by \(\displaystyle 100\), then place that number over \(\displaystyle 100\): 

\(\displaystyle 0.65\cdot100=65\).

Then place \(\displaystyle 65\) over \(\displaystyle 100\): \(\displaystyle \frac{65}{100}\).

Therefore,

 \(\displaystyle 0.65=\frac{65}{100}\).

Then, reduce the fraction to its lowest terms by dividing through by the greatest common factor of \(\displaystyle 65\) and \(\displaystyle 100\), which is \(\displaystyle 5\):

 \(\displaystyle \frac{65}{100}=\frac{13}{20}\).

So, Lauren has finished \(\displaystyle \frac{13}{20}\) of her homework.

To convert percentages to fractions, take the value and divide by \(\displaystyle 100\).

\(\displaystyle \frac{.0005}{100}\) Let's get rid of the decimal by multiplying top and bottom by \(\displaystyle 10000\) or moving the decimal places \(\displaystyle 4\) to the right and adding \(\displaystyle 4\) zeroes to the bottom.

\(\displaystyle \frac{5}{1000000}\) Then reduce by dividing the bottom by \(\displaystyle 5\) to get \(\displaystyle \frac{1}{200000}\).

To convert percentages to fractions, take the value and divide it by \(\displaystyle 100\).

Then simplify as follows. 

\(\displaystyle \frac{\frac{2}{5}}{100}=\frac{2}{5\cdot 100}=\frac{1}{5\cdot50}=\frac{1}{250}\) 

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.

\(\displaystyle 49\frac{3}{4}=\frac{196+3}{4}=\frac{199}{4}\) 

Then to convert percentages to fractions, take the value and divide by \(\displaystyle 100\). 

\(\displaystyle \frac{\frac{199}{4}}{100}=\frac{199}{400}\)

This problem is fairly simple.  If we know he scored a \(\displaystyle 62\%\), then we know that he got \(\displaystyle \frac{62}{100}\) correct answers.  

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

\(\displaystyle \frac{62}{100}=\frac{2\cdot 31}{2 \cdot 50}=\frac{31}{50}\).

To solve this problem, first convert the percentage into a decimal by dividing the percentage by 100:

\(\displaystyle 0.36\)

Then, you can convert the decimal into a fraction:

\(\displaystyle \frac{36}{100}\)

Both the numerator and the denomenator are divisible by \(\displaystyle 4\), so now you may simplify:

\(\displaystyle \frac{9}{25}\)

To find your answer, first convert the percentage into a decimal:

\(\displaystyle .125\)

Then, you can place the digits of the decimal over one, followed by a number of zeroes equal to the number of digits (in this case, 1,000):

\(\displaystyle \frac{125}{1000}\)

Both the numerator and denomenator are divisible by \(\displaystyle 125\), so you can simplify to:

\(\displaystyle \frac{1}{8}\)