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

Convert to a fraction by dividing it by 100.

The number is the same as the fraction

Since this is the division of two fractions, work it out by multiplying by the reciprocal of

Multiply across the numerator and denominator

Multiply this fraction by or  to get the answer

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%.

10/100 = 10% wrong

(100%) – (10% wrong) = 90% right

We need to set up a proportion to convert our fraction to 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%.

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

A "" was rolled  of a total of  times, but the question is asking about numbers other than .

A number other than  was rolled  times of the total .

Now, the final step is to convert  into a percent. Since  is a multiple of , it is a quick conversion.  is equal to  and the answer is .

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

First, you must find what fraction of the bag is filled with yellow marbles. We know that of the bag filled with red marbles and of the bag is filled with blue marbles. So, the fraction of the bag filled with yellow marbles must equal to

or

Next, you convert to a percentage, which is 25%.

Jamie ate of a pizza for lunch and 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  of the pizza for lunch and  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

So there are  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,

Thus our answer is 25%.

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

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

Cross multiply and solve for .

So, the student got of the questions correct.