It is important to remember that "of" means multiply. Before multiplying, the fractional percentage needs to be converted to a fraction.

Convert \(\displaystyle \frac{6}{7}\%\)to a fraction by dividing it by 100.

\(\displaystyle \frac{\frac{6}{}7}{100}\)

The number \(\displaystyle 100\) is the same as the fraction \(\displaystyle \frac{100}{1}\)

Since this is the division of two fractions, work it out by multiplying \(\displaystyle \frac{6}{7}\) by the reciprocal of \(\displaystyle \frac{100}{1}\)

\(\displaystyle \frac{6}{7}\cdot \frac{1}{100}\)

Multiply across the numerator and denominator

\(\displaystyle \frac{6}{700}\)

Multiply this fraction by \(\displaystyle 700\) or \(\displaystyle \frac{700}{1}\) to get the answer

\(\displaystyle \frac{6}{700}\cdot \frac{700}{1}\)

\(\displaystyle \frac{4200}{700}\)

\(\displaystyle 6\)

Since she got 2 out of 20 incorrect, we can first figure out the percent incorrect. We can either find the decimal for 2/20, or make 2/20 a fraction with 100 in the denominator. In this case, it is simpler to do the latter. We need to multiply 20 by 5 to get 100, thus we multiply 2 by 5 to get 10. Then, we have that 2/20 is equivalent to 10/100. She lost 10 percent on her math quiz, leaving her with a score of 90%.

\(\displaystyle \frac{2}{20}= \frac{2}{20}*\frac{5}{5}=\frac{10}{100}\)

10/100 = 10% wrong

(100%) – (10% wrong) = 90% right

We need to set up a proportion to convert our fraction to x/100.

\(\displaystyle \frac{1}{8}=\frac{x}{100}\)

Cross multiply.

(1)(100) = (8)(x)

100 = 8x

Divide both sides by 8.

(100)/8 = (8x)/8

100/8 = x

Simplify.

100/8 = 25/2 = 12.5

Our answer is 12.5%.

\(\displaystyle \textup{Translate to equation: }\frac{x}{100}\times4=\frac{1}{2}\)

\(\displaystyle 4x=50\%\)

\(\displaystyle x=12.5\%\)

Here, the most important step is to understand what the question is asking.

A "\(\displaystyle 6\)" was rolled \(\displaystyle 879\) of a total of \(\displaystyle 10000\) times, but the question is asking about numbers other than \(\displaystyle 6\).

A number other than \(\displaystyle 6\) was rolled \(\displaystyle 9121\) times of the total \(\displaystyle 10000\).

Now, the final step is to convert \(\displaystyle \frac{9121}{10000}\) into a percent. Since \(\displaystyle 10000\) is a multiple of \(\displaystyle 100\), it is a quick conversion. \(\displaystyle \frac{9121}{10000}\) is equal to \(\displaystyle \frac{91.21}{100}\) and the answer is \(\displaystyle 91.21\%\).

Use long division to divide out the fraction to determine the percentage:

\(\displaystyle \frac{1}{4}=4\div100=0.25=25\%\)

First, you must find what fraction of the bag is filled with yellow marbles. We know that \(\displaystyle \frac{1}{4}\) of the bag filled with red marbles and \(\displaystyle \frac{1}{2}\) of the bag is filled with blue marbles. So, the fraction of the bag filled with yellow marbles must equal to

\(\displaystyle 1-\frac{1}{4}-\frac{1}{2}\)

or \(\displaystyle \frac{1}{4}\)

Next, you convert \(\displaystyle \frac{1}{4}\) to a percentage, which is 25%.

Jamie ate \(\displaystyle \frac{1}{4}\) of a pizza for lunch and \(\displaystyle \frac{1}{5}\) of the same pizza for dinner. To convert a fraction to a percentage, you simply convert the fraction so that the denominator is 100. So, Jamie ate \(\displaystyle \frac{25}{100}\) of the pizza for lunch and \(\displaystyle \frac{20}{100}\) of the pizza for dinner. Since the denominator of these fractions is 100, the numerator is its percentage equivalent. Thus, Jamie ate 25% of the pizza for lunch and 20% for dinner for a total of 45% of the pizza. 55% of the pizza remains uneaten.

First, we can find out the proportion of coins that are nickels. So, we know there are 5 nickels and we can count there are 20 coins total \(\displaystyle \left ( 2+4+5+9\right)\)

So there are \(\displaystyle \frac{5}{20}\) coins that are nickels. But the question asks for the percentage. To find the percentage, we can just find our answer as a decimal value rather than a fraction. Than multiply by 100%. So,\(\displaystyle 5/20=.25 = 25\text{ percent}\)

Thus our answer is 25%.

We can mathematically write '13 out of 20' as a fraction.

\(\displaystyle \frac{13}{20}\)

We can convert this to a percent by setting up a proportion.

\(\displaystyle \frac{13}{20}=\frac{x}{100}\)

Cross multiply and solve for \(\displaystyle \small x\).

\(\displaystyle 20x=(13)(100)\)

\(\displaystyle 20x=1300\)

\(\displaystyle x=\frac{1300}{20}=\frac{130}{2}=65\)

So, the student got of the questions correct.